Properties of the Number 72846

Seventy-Two Thousand Eight Hundred Forty-Six

Basics

Value: 72845 → 72846 → 72847

Parity: even

Prime: No

Previous Prime: 72823

Next Prime: 72859

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 19 × 71

Divisors: 1, 2, 3, 6, 9, 18, 19, 27, 38, 54

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001110010001110

Octal: 216216

Duodecimal: 361A6

Hexadecimal: 11c8e

Square: 5306539716

Square Root: 269.8999814746196

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 (s(0), s(1), ..., s(2n+1)) such that 0 < s(i) < 9 and |s(i) - s(i-1)| = 1 for i = 1,2,...,2n+1, s(0) = 1, s(2n+1) = 6. A94829

Expansion of 1/(1 - 3·x² - x³). A52931

Integers k such that (2^k + 1) + (3^k + 1) + (5^k + 1) is prime. A268064

a(n) = n²*(n*(4·n + 3) + 3·n*(-1)ⁿ - 4)/96. A302758

a(n) = 100·n² - 2·n. A158129

Number of 5-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on an n X n board summed over all starting positions. A187300

a(n) = 3·binomial(2·n+1,n+1) - n² - 2·n - 4. A387922

The a(n)-th highly-composite number (A002182) is the first one divisible by the n-th prime. A72846

Square array T, read by antidiagonals: T(n,k) = 0 if n-k >=3 or if k-n >= 6, T(2,0) = T(1,0) = T(0,0) = T(0,1) = T(0,2) = T(0,3) = T(0,4) = T(0,5) = 1, T(n,k) = T(n-1,k) + T(n,k-1). A217765

Number of (n+2)X(2+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 5. A252599