Properties of the Number 47360

Forty-Seven Thousand Three Hundred Sixty

Basics

Value: 47359 → 47360 → 47361

Parity: even

Prime: No

Previous Prime: 47353

Next Prime: 47363

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁸ × 5 × 37

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 37

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011100100000000

Octal: 134400

Duodecimal: 234A8

Hexadecimal: b900

Square: 2242969600

Square Root: 217.6235281397671

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

Numbers j such that σ(σ(j)) = k·j for some k. A19278

Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k·n; sequence gives the (2,7)-perfect numbers. A19284

Numbers of the form p⁸*q·r where p, q, and r are distinct primes. A179747

A convolution triangle of numbers obtained from A036070. A30526

Expansion of a level 11 weight 7 multiplicative modular form in powers of q. A138661

Terms of the cycles reached after iterations of numerator(σ(n)/n) = A017665(n). A234534

Unitary-σ σ multiply perfect numbers: numbers k such that A061765(k) = m·k for some integer m. A45795

Integers that reach the (47360, 29127) cycle described in A234534, after iterations of numerator(σ(n)/n) = A017665(n). A249614

Main diagonal of the square array A058395. A362179

z(σ(n)) = 2n, where z(n) = A048146. A63885