Properties of the Number 11872

Eleven Thousand Eight Hundred Seventy-Two

Basics

Value: 11871 → 11872 → 11873

Parity: even

Prime: No

Previous Prime: 11867

Next Prime: 11887

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 7 × 53

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 53

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10111001100000

Octal: 27140

Duodecimal: 6A54

Hexadecimal: 2e60

Square: 140944384

Square Root: 108.95870777500988

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

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal median plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253993

Let u be any string of n digits from {0,...,7}; let f(u) = number of distinct primes, not beginning with 0, formed by permuting the digits of u to a base-8 number; then a(n) = max_u f(u). A65849

Numbers of the form a⁵ + b⁶, with integers a, b > 0. A303375

a(n) = T(n,n-4), array T as in A055818. A55821

Expansion of (1-x-x^N)/((1-x)(1-x²)(1-x³)...(1-x^N)) for N = 9. A60028

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal median plus antidiagonal median nondecreasing horizontally and vertically. A258910

Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1+2x+2x²)ⁿ. A84606

a(n) = ∑_i=0..n digsum₄(i)⁴, where digsum₄(i) = A053737(i). A231667

Generalized sum of divisors function: third diagonal of A060047. A60046

Number of Niven numbers <= 10ⁿ. A140866