Properties of the Number 272

Two Hundred Seventy-Two

Basics

Value: 271 → 272 → 273

Parity: even

Prime: No

Previous Prime: 271

Next Prime: 277

Digit Sum: 11

Digital Root: 2

Palindrome: Yes

Factorization: 2 ⁴ × 17

Divisors: 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010000

Octal: 420

Duodecimal: 1A8

Hexadecimal: 110

Square: 73984

Square Root: 16.492422502470642

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

Oblong (or promic, pronic, or heteromecic) numbers: a(n) = n*(n+1). A2378

Palindromes in base 10. A2113

Moser-de Bruijn sequence: sums of distinct powers of 4. A695

Quarter-squares: a(n) = floor(n/2)*ceiling(n/2). Equivalently, a(n) = floor(n²/4). A2620

a(n) = ∑_k=0..n p(k) where p(k) = number of partitions of k (A000041). A70

Euler or up/down numbers: e.g.f. sec(x) + tan(x). Also for n >= 2, half the number of alternating permutations on n letters (A001250). A111

a(n) = prime(n) + 1. A8864

Number of partitions of n into prime parts. A607

Tangent (or "Zag") numbers: e.g.f. tan(x), also (up to signs) e.g.f. tanh(x). A182

Zumkeller or integer-perfect numbers: numbers n whose divisors can be partitioned into two disjoint sets with equal sum. A83207