Properties of the Number 1007

One Thousand Seven

Basics

Value: 1006 → 1007 → 1008

Parity: odd

Prime: No

Previous Prime: 997

Next Prime: 1009

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 19 × 53

Divisors: 1, 19, 53, 1007

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101111

Octal: 1757

Duodecimal: 6BB

Hexadecimal: 3ef

Square: 1014049

Square Root: 31.73326330524486

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) = ∑_k=1..n k·floor(n/k); also ∑_k=1..n σ(k) where σ(n) = sum of divisors of n (A000203). A24916

Number of strict knapsack partitions of n. A275972

Number of compositions (ordered partitions) of n that are concave-down sequences. A70211

Numbers that are the sum of 8 positive 5th powers. A3353

Numbers having no more than one 0 in their binary representation. A89633

Numbers whose sum of digits is 8. A52222

Length of the n-th maximal antirun of prime-powers. A373671

a(n) = 24·n - 1. A183010

Expansion of 1/(1 - x - x¹⁰ - x¹⁹ + x²⁰). A175740

Heinz numbers of integer partitions for which the number of even conjugate parts is equal to the number of odd conjugate parts. A350848

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