Properties of the Number 10878

Ten Thousand Eight Hundred Seventy-Eight

Basics

Value: 10877 → 10878 → 10879

Parity: even

Prime: No

Previous Prime: 10867

Next Prime: 10883

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 ² × 37

Divisors: 1, 2, 3, 6, 7, 14, 21, 37, 42, 49

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10101001111110

Octal: 25176

Duodecimal: 6366

Hexadecimal: 2a7e

Square: 118330884

Square Root: 104.29765098025938

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 configurations of the sliding block 8-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners. A89473

Heinz numbers of perfect integer partitions. A325780

a(n) = 2·n*(4·n - 1). A14635

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4. A240000

Numbers k with property that for every base b >= 2, there is a number m such that m+s(m) = k, where s(m) = sum of digits in the base-b expansion of m. A230624

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252105

Triangular numbers that are sums of two consecutive primes. A111163

Number of integer partitions whose sum plus co-rank is n, where co-rank is maximum of length and largest part. A325193

Number of n step self-avoiding walks on 3 X infinity grid starting from (0,1). A7825

Numbers k such that prime(k+3)-(k+3)*τ(k+3) = prime(k-3)-(k-3)*τ(k-3) where τ(k) = A000005(k) is the number of divisors of k. A67355