Properties of the Number 31104

Thirty-One Thousand One Hundred Four

Basics

Value: 31103 → 31104 → 31105

Parity: even

Prime: No

Previous Prime: 31091

Next Prime: 31121

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ⁷ × 3 ⁵

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100110000000

Octal: 74600

Duodecimal: 16000

Hexadecimal: 7980

Square: 967458816

Square Root: 176.36326148038881

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = period of the sequence {b(m), m>=0}, defined by b(m):=binomial(m+n,n) mod n. A133900

Sextuple factorials, 6-factorials, n!!!!!!, n!6. A85158

4-full numbers: if a prime p divides k then so does p⁴. A36967

Highly powerful numbers: numbers with record value of the product of the exponents in prime factorization (A005361). A5934

12-almost primes (generalization of semiprimes). A69273

Triangle read by rows: terms T(n,k) of a binomial decomposition of 2ⁿ-1 as Sum(k=0..n)T(n,k). A244127

Triangle read by rows: coefficients T(n,k) of a binomial decomposition of nⁿ as Sum(k=0..n)T(n,k)*binomial(n,k). A244136

Coordination sequence for (3,3,6) tiling of hyperbolic plane. A265073

Order of the group SL(2,Z_n). A56

Let b(n) equal the product of the exponents in the prime factorization of n. Then a(n) gives the least k such that b(k) = n. A85629