Properties of the Number 6456

Six Thousand Four Hundred Fifty-Six

Basics

Value: 6455 → 6456 → 6457

Parity: even

Prime: No

Previous Prime: 6451

Next Prime: 6469

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 269

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 269, 538

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100111000

Octal: 14470

Duodecimal: 38A0

Hexadecimal: 1938

Square: 41679936

Square Root: 80.34923770640266

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 k such that prime(k) == 7 (mod k). A23149

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

Numbers k such that the largest unitary divisor of σ(k) that is coprime with A003961(k) is also a unitary divisor of k. A351551

Let p and q be two prime numbers, not necessarily consecutive, such that q - p = 2n; a(n) is the number of distinct partitions of 2n into even numbers so that each partition corresponds to a consecutive prime difference pattern (k-tuple) and p<=A000230(n). Multiple occurrences of a partition are not counted. A79024

T(n,k) = number of defective 4-colorings of an n X k 0..3 array connected horizontally, vertically, diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..3 order. A229755

a(n) = number of 7-digit primes with digit sum n, where n runs through the non-multiples of 3 in the range [2..62]. A178876

G.f. satisfies: A(x) = ∏_n>=1 (1 + xⁿ*A(x)²)/(1 - xⁿ*A(x)²). A192621

Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 805", based on the 5-celled von Neumann neighborhood. A273602

Numbers n such that, as strings, n is a substring of prime(n). A68575

Structured heptagonal diamond numbers (vertex structure 5). A100179