Properties of the Number 93160

Ninety-Three Thousand One Hundred Sixty

Basics

Value: 93159 → 93160 → 93161

Parity: even

Prime: No

Previous Prime: 93151

Next Prime: 93169

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 5 × 17 × 137

Divisors: 1, 2, 4, 5, 8, 10, 17, 20, 34, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10110101111101000

Octal: 265750

Duodecimal: 45AB4

Hexadecimal: 16be8

Square: 8678785600

Square Root: 305.2212312405544

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

a(n) = number of (s(0),s(1),...,s(n)) such that every s(i) is a nonnegative integer, s(0) = 1, s(n) = 3, |s(1) - s(0)| = 1, |s(i) - s(i-1)| <= 1 for i >= 2. Also a(n) = T(n,n-2), where T is the array in A026120. A26124

a(n) = ∑_k=m..n T(k,n-k), where m = floor((n+1)/2); a(n) is the n-th diagonal-sum of left justified array T given by A027935. A27947

Sequence equals its 4th differences shifted by one index. A137166

a(n) = 3·a(n-1) - 3·a(n-2) + a(n-3) + a(n-4) with a(1) = 1, a(2) = 2, a(3) = 4, and a(4) = 7. A385106

a(n) cannot be prefixed or followed by any digit to form a prime ('empty' prefixes allowed). A32736

a(n) cannot be prefixed or followed by any digit to form a prime ('empty' prefixes and suffixes are allowed). A32738

Expansion of q^-1/2 * (η(q⁴) / η(q))⁴ in powers of q. A93160

Number of (n+1)X4 0..3 arrays with every 2X2 subblock having one, two or four distinct values, and new values 0..3 introduced in row major order. A210056