Properties of the Number 4712

Four Thousand Seven Hundred Twelve

Basics

Value: 4711 → 4712 → 4713

Parity: even

Prime: No

Previous Prime: 4703

Next Prime: 4721

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 19 × 31

Divisors: 1, 2, 4, 8, 19, 31, 38, 62, 76, 124

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1001001101000

Octal: 11150

Duodecimal: 2888

Hexadecimal: 1268

Square: 22202944

Square Root: 68.64400920692205

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 for which the number of odd parts is equal to the positive alternating sum of the parts. A277103

Expansion of g.f. x*(1+x)⁴/(1-x)⁶. A69038

Primitive pseudoperfect numbers. A6036

Number of non-isomorphic multiset partitions of weight n into singletons or strict pairs. A339888

Triangle read by rows: T(n,k) = number of k-part order-consecutive partition of {1,2,...,n} (1 <= k <= n). A56242

Triangle read by rows: T(n,k) is the number of 2-compositions of n having length k (0 <= k <= n). A181289

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 3 - 2^p+1 and p is the smallest integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = a(3) = 1. A50024

a(n) = n*(5·n-3). A135706

Consider Post's tag system applied to the word (100)ⁿ; a(n) = position of the longest word in the orbit, or -1 if the orbit is unbounded. A291796

Number of integer partitions of n with a unique 1 or prime part. A379314