Properties of the Number 7272

Seven Thousand Two Hundred Seventy-Two

Basics

Value: 7271 → 7272 → 7273

Parity: even

Prime: No

Previous Prime: 7253

Next Prime: 7283

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 101

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1110001101000

Octal: 16150

Duodecimal: 4260

Hexadecimal: 1c68

Square: 52881984

Square Root: 85.27602242131137

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

Kaprekar numbers: positive numbers n such that n = q+r and n² = q·10^m+r, for some m >= 1, q >= 0 and 0 <= r < 10^m, with n ≠ 10^a, a >= 1. A6886

Low-temperature partition function expansion for Kagome net (Potts model, q=4). A57405

Number of partitions of n with designated summands. A77285

Number of subset-sums of strict integer partitions of n. A365925

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250755

T(n,k) = Number of n X k 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 1 vertically. A207589

Result of using the primes as coefficients in an infinite polynomial series in·and then expressing this series as (1+x)(1+a(1)*x)(1+a(2)*x²) ... . A147541

Values of the difference d for 5 primes in geometric-arithmetic progression with the minimal sequence {5·5^j + j·d}, j = 0 to 4. A209204

Another version of the Kaprekar numbers (A006886): n such that n = q+r and n² = q·10^m+r, for some m >= 1, q >= 0 and 0 <= r < 10^m, with n ≠ 10^a, a >= 1 and n an m-digit number. A53816

Kaprekar numbers: numbers k such that k = q + r and k² = q·10^m + r, for some m >= 1, q >= 0 and 0 <= r < 10^m. Here q and r must both have the same number of digits. A45913