Properties of the Number 93314

Ninety-Three Thousand Three Hundred Fourteen

Basics

Value: 93313 → 93314 → 93315

Parity: even

Prime: No

Previous Prime: 93307

Next Prime: 93319

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 13 × 37 × 97

Divisors: 1, 2, 13, 26, 37, 74, 97, 194, 481, 962

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10110110010000010

Octal: 266202

Duodecimal: 46002

Hexadecimal: 16c82

Square: 8707502596

Square Root: 305.4734030975528

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

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

Squarefree integers m > 1 such that if prime p divides m, then s_p(m) >= p and s_p(m) == 2 (mod p-1), where s_p(m) is the sum of the base p digits of m. A324404

Group the triangular numbers so that the n-th group sum is a multiple of n. 1, (3, 6, 10, 15), (21), (28), (36, 45, 55, 66, 78), (91, 105, 120, 136, 153, 171, 190), ... Sequence contains the group sums. A114031

Number of (w,x,y,z) with all terms in {1,...,n} and w·x+y·z>n². A212136

Nullspace dimension of the periodic XX Heisenberg chain with n > 1 sites. A392387

Number of permutations s₁,s₂,...,s_n of 1,2,...,n with s₁ = 3 and such that for all j=1,2,...,n, s_j divides ∑_i=1..j s_i. A93314