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Properties of the Number 22957

Twenty-Two Thousand Nine Hundred Fifty-Seven

Basics

Value: 22956 → 22957 → 22958

Parity: odd

Prime: No

Previous Prime: 22943

Next Prime: 22961

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 11 × 2087

Divisors: 1, 11, 2087, 22957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 101100110101101

Octal: 54655

Duodecimal: 11351

Hexadecimal: 59ad

Square: 527023849

Square Root: 151.51567575666883

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

Becomes prime after n iterations of f(x) = φ(x)+1 (least inverse of A039651). A39652
Sum of the two smallest parts from the partitions of 4n into 4 parts with smallest part = 1. A239059
a(n) = ∑k>=1 floor( 2*(1+sqrt(2))n-k ). A20963
Number of binary strings of length n with no substrings equal to 0000 0010 or 1101. A164424
Number of zero-sum -1..1 arrays of n elements with first through third differences also in -1..1. A202504
Number of nX3 binary arrays indicating whether each 2X2 subblock of a larger binary array has lexicographically nondecreasing rows and columns, for some larger (n+1)X4 binary array with rows and columns of the latter in lexicographically nondecreasing order. A227253
Partial sums of A299900. A299901
a(n) = (8·n3 + 12·n2 + 4·n - 9)/3. A358035
Number of maximum matchings in the n-Cameron graph. A387596
T(n,k)=Number of nXk binary arrays indicating whether each 2X2 subblock of a larger binary array has lexicographically nondecreasing rows and columns, for some larger (n+1)X(k+1) binary array with rows and columns of the latter in lexicographically nondecreasing order. A227256