561 = 1 + 2 + 3 + 45 + 6 + 7 × 8 × 9
561 = 9 + 87 × 6 + 5 + 4 × 3 × 2 + 1
561 = 0^4 − 1^7 − 2^9 − 3^8 + 4^6 + 5^5 + 6^1 + 7^3 + 8^2 + 960
Number k such that k^2 + 2 is prime
Carmichael number: composite numbers k such that a^(k-1) == 1 (mod k) for every a coprime to k.
Centered icosahedral (or cuboctahedral) number, also crystal ball sequence for f.c.c. lattice.
Sphenic number: Product of 3 distinct Primes, (List)
Factors: 1, 3, 11, 17, 33, 51, 187, 561
Representations, Binary to Hexadecimal:
1000110001_2
202210_3
20301_4
4221_5
2333_6
1431_7
1061_8
683_9
470_11
3a9_12
342_13
2c1_14
276_15
231_16
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Undergraduate Texts in Mathematics
Graduate Studies in Mathematics

