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Properties of the Number 23953

Twenty-Three Thousand Nine Hundred Fifty-Three

Basics

Value: 23952 → 23953 → 23954

Parity: odd

Prime: No

Previous Prime: 23929

Next Prime: 23957

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 17 × 1409

Divisors: 1, 17, 1409, 23953

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101110110010001

Octal: 56621

Duodecimal: 11A41

Hexadecimal: 5d91

Square: 573746209

Square Root: 154.76756766196203

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

Number of integer partitions of n with a difference < -1 and a conjugate difference < -1. A350839
At stage 1, start with a unit square. At each successive stage add 4*(n-1) new squares around outside with edge-to-edge contacts. Sequence gives number of squares (regardless of size) at n-th stage. A56640
Numbers k for which rank of the elliptic curve y2=x3+k·x is 4. A309031
Number of ballot sequences of length n having largest descent 4. A244200
Number of n X n binary arrays with all ones connected only in a 110-111-101 pattern in any orientation. A146256
Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 110-111-101 pattern in any orientation. A146258
a(n) = smallest prime p such that p is the home prime (cf. A037274) of exactly n natural numbers. A118756
Triangle read by rows: T(n,k) gives the number of ballot sequences of length n having largest descent k, n>=0, 0<=k<=n. A238128
Triangle read by rows: T(n,k) gives the number of ballot sequences of length n having largest ascent k, n>=0, 0<=k<=n. A238129
Expansion of g.f. 1/((1-x)*(1-6·x)*(1-7·x)*(1-12·x)). A23953