Properties of the Number 7460

Seven Thousand Four Hundred Sixty

Basics

Value: 7459 → 7460 → 7461

Parity: even

Prime: No

Previous Prime: 7459

Next Prime: 7477

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5 × 373

Divisors: 1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110100100100

Octal: 16444

Duodecimal: 4398

Hexadecimal: 1d24

Square: 55651600

Square Root: 86.37129152675674

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) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3). A24312

Triangle read by rows: T(n,k) (n>=0, 0<=k<=A002620(n-1)) is the number of permutations of [n] with k nestings. A263776

T(n,k) = number of defective 3-colorings of an n X k 0..2 array connected horizontally, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order. A229534

Number of positive integers that are not the sum of distinct n-th-order polygonal numbers. A25524

Number of permutations of length n with exactly 4 occurrences of the pattern 2-13. A120812

a(n) = ∑_{x₁∣n, x₂∣n, x₃∣n, x₄∣n} gcd(x₁,x₂,x₃,x₄). A344138

a(n) = ∑_i=0..n digsum₅(i)³, where digsum₅(i) = A053824(i). A231670

Number of partitions p of n such that the number of distinct parts is not a part and max(p) - min(p) is not a part. A241390

a(n) = A347129(A276086(n)). A347126

Number of edges in a square when n internal squares are drawn between the 4n points that divide each side into n+1 equal parts. A357061