Properties of the Number 17953

Seventeen Thousand Nine Hundred Fifty-Three

Basics

Value: 17952 → 17953 → 17954

Parity: odd

Prime: No

Previous Prime: 17939

Next Prime: 17957

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 13 × 1381

Divisors: 1, 13, 1381, 17953

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100011000100001

Octal: 43041

Duodecimal: A481

Hexadecimal: 4621

Square: 322310209

Square Root: 133.98880550254935

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) = 1 + n*(n+1)*(n-1)/2. A158842

Centered 32-gonal numbers. A195315

Positions where A163890 obtains distinct new values. A163891

G.f. satisfies: A(x)² = x + A(x·A(x)⁴). A241996

Record values of A163894. A163896

Numerators of continued fraction convergents to sqrt(718). A42382

Row 4 of square array defined in A047671. A47673

Odd numbers k such that σ(k) + σ(k+2) > 2*σ(k+1); odd terms in A053228. A358395

Number of n X 2 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X 3 binary array having a sum of zero, with rows and columns of the latter in lexicographically nondecreasing order. A227121

Number of length 2+2 0..n arrays with some pair in every consecutive three terms totalling exactly n. A245871