Properties of the Number -1004

Four

Basics

Value: -1005 → -1004 → -1003

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 5

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 251

Divisors: 1, 2, 4, 251, 502, 1004

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1111101100

Octal: -1754

Duodecimal: -6B8

Hexadecimal: -3ec

Square: 1008016

Square Root: 31.68595903550972

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

McKay-Thompson series of class 12I for the Monster group. A58487

McKay-Thompson series of class 24c for the Monster group. A62243

a(n) = n - A332215(n). A364253

a(1) = 1; a(n+1) = -∑_d∣n a(n/d) * a(d). A325303

Coefficients of partition Hermite-Eulerian polynomials: p(x,n)= If[n == 0, 1, HermiteH[n, x]*Sum[Eulerian[n-1, k-1]*x^{k - 1}, {k, 1, n}]/2^Floor[n/2]]. A171532

Expansion of ∏_k>=1 (1 - x^prime(k))^prime(k). A300521

Expansion of ∏_m>=1 (1 + q^m)^m; number of partitions of n into distinct parts, where n different parts of size n are available. A26007

Second-order Eulerian triangle T(n,k), 1 <= k <= n. A8517

Numbers whose sum of divisors is a square. A6532

Numbers that are the sum of 5 positive 5th powers. A3350