Properties of the Number 5601

Five Thousand Six Hundred One

Basics

Value: 5600 → 5601 → 5602

Parity: odd

Prime: No

Previous Prime: 5591

Next Prime: 5623

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 1867

Divisors: 1, 3, 1867, 5601

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010111100001

Octal: 12741

Duodecimal: 32A9

Hexadecimal: 15e1

Square: 31371201

Square Root: 74.83982896827064

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

Smallest of three consecutive squarefree numbers k, k+1, k+2 of the form p·q where p and q are distinct primes. A39833

a(n) = ∑_k=1..n k*φ(k). A11755

Molien series for invariants of finite Coxeter group A₇. A266776

A(n,k) is (1/k) times the number of n-member subsets of [k·n] whose elements sum to a multiple of n; square array A(n,k), n>=1, k>=1, read by antidiagonals. A309148

a(n) = (9·n² + 5·n + 2)/2. A64225

a(0) = 0, a(1) = 1; a(2·n) = a(n), a(2·n+1) = 7·a(n) + a(n+1). A342636

a(n) = smallest nonnegative integer not the Nim sum of at most 4 earlier terms. A54016

a(n) = 14·n² + 1. A158482

E.g.f. A(x) satisfies: A'(x) = A(x·A'(x)⁴) with A(0)=1. A232694

T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 2 or 4 neighboring 1s. A296541