Properties of the Number 72896

Seventy-Two Thousand Eight Hundred Ninety-Six

Basics

Value: 72895 → 72896 → 72897

Parity: even

Prime: No

Previous Prime: 72893

Next Prime: 72901

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ⁶ × 17 × 67

Divisors: 1, 2, 4, 8, 16, 17, 32, 34, 64, 67

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001110011000000

Octal: 216300

Duodecimal: 36228

Hexadecimal: 11cc0

Square: 5313826816

Square Root: 269.9925924909793

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 partitions of n such that some part is a sum of two or more other parts. A237668

Expansion of (1 - 2·x - sqrt(1 - 4·x - 4·x²))/(4·x²). A71356

Determinants of 4 X 4 matrices of 16 consecutive primes. A118799

Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(0,k) = 1 and T(n,k) = (1/n) * ∑_j=1..n 2^n-j * binomial(n,j) * binomial(n+(k-1)*j,j-1) for n > 0. A336707

Number of partitions p of n such that (number of numbers of the form 3k in p) is a part of p. A241546

Numbers x = concat(a,b) such that a^b ends with the digits of x. A273383

Numbers k such that (k+1)*φ(k) is a perfect square. A69952

A convolution triangle of numbers based on A071356. A110681

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 1), (0, 1, -1), (1, 0, 1), (1, 1, 1)}. A150972

5th-order digital invariants: the sum of the 5th powers of the digits of n equals some number k and the sum of the 5th powers of the digits of k equals n. A72896