Properties of the Number 5536

Five Thousand Five Hundred Thirty-Six

Basics

Value: 5535 → 5536 → 5537

Parity: even

Prime: No

Previous Prime: 5531

Next Prime: 5557

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 173

Divisors: 1, 2, 4, 8, 16, 32, 173, 346, 692, 1384

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010110100000

Octal: 12640

Duodecimal: 3254

Hexadecimal: 15a0

Square: 30647296

Square Root: 74.4043009509531

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

Tetranacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) for n >= 4 with a(0) = a(1) = a(2) = 0 and a(3) = 1. A78

a(n) = A031287(n) + A031288(n) + A031289(n) + A031290(n) + A031291(n) + A031292(n) + A031293(n) + A031294(n) + A031295(n) + A031296(n). A193428

Number of distinct prime signatures of the positive integers up to 2ⁿ. A25488

A sum with next-to-central binomial coefficients of even order, Catalan related. A29760

Four times the sum of all divisors of all positive integers <= n. A243980

Number of ordered factorizations indexed by prime signatures: A074206(A025487). A50324

Greatest number m such that the fractional part of (3/2)^A153662(n) <= 1/m. A153666

Expansion of ∑_k>=1 k·x^k / (1 - k·x^k)^k. A324159

a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 3, where m = 2·n - 3 - 2^p+1 and p is the unique integer such that 2^p < n-1 <= 2^p+1, with a(1) = 1 and a(2) = 2. A49960

Riordan array (1/sqrt(1-4·x), (1/sqrt(1-4·x)-1)/2). A116395