Properties of the Number 4656

Four Thousand Six Hundred Fifty-Six

Basics

Value: 4655 → 4656 → 4657

Parity: even

Prime: No

Previous Prime: 4651

Next Prime: 4657

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 97

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1001000110000

Octal: 11060

Duodecimal: 2840

Hexadecimal: 1230

Square: 21678336

Square Root: 68.23488843692792

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

a(n) = p*(p-1)/2 for p = prime(n). A8837

a(n) = 2·n*(4·n + 1). A33585

Numbers k for which A003415(k) >= A276086(k), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function. A351228

Staggered diagonal of triangular spiral in A051682. A81266

Determinant of n X n matrix containing the first n² primes in increasing order. A67276

Number of steps to reach 0 when starting from 2ⁿ and iterating the map x -> x - (number of 1's in binary representation of x): a(n) = A071542(2ⁿ) = A218600(n)+1. A213710

Number of regions in a "frame" of size n X n (see Comments for definition). A331776

Numbers k > 1 such that, in base 3, k and k² contain the same digits in the same proportion. A61657

Numbers k such that the symmetric representation of σ(k) has only two parts and they meet at the center of the Dyck path. A262259

Partition the concatenation 1234567...of natural numbers into successive strings which are multiples of 4, all different and > 4. (0 never taken as the most significant digit.) A77297