Properties of the Number 1507

One Thousand Five Hundred Seven

Basics

Value: 1506 → 1507 → 1508

Parity: odd

Prime: No

Previous Prime: 1499

Next Prime: 1511

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 11 × 137

Divisors: 1, 11, 137, 1507

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111100011

Octal: 2743

Duodecimal: A57

Hexadecimal: 5e3

Square: 2271049

Square Root: 38.82009788756334

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

Number of partitions of n that do not contain 1 as a part. A2865

Number of knapsack partitions of n. A108917

Number of elements in the set {(x,y): 1 <= x,y <= n, gcd(x,y)=1}. A18805

Number of partitions of n that do not contain parts less than the smallest part of the partitions of n-1. A187219

Discriminants of imaginary quadratic fields with class number 4 (negated). A13658

Generalized 25-gonal (or icosipentagonal) numbers: m*(23·m - 21)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303304

A000120-perfect numbers. A175522

Expansion of 1/(1 + x - x³ - x⁴ - x⁸ - x¹² - x¹³ - x¹⁷ - x²¹ - x²² - x²⁶ - x³⁰ - x³¹ + x³³ + x³⁴). A173908

Number of partitions of n into distinct parts (a₁, a₂, ... , a_m) (a₁ > a₂ > ... > a_m and ∑_k=1..m a_k = n) such that a1 - a2, a2 - a3, ..., a_m-1 - a_m are different. A320347

Numbers k whose largest divisor <= sqrt(k) is 11. A162531