Properties of the Number 7966

Seven Thousand Nine Hundred Sixty-Six

Basics

Value: 7965 → 7966 → 7967

Parity: even

Prime: No

Previous Prime: 7963

Next Prime: 7993

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 7 × 569

Divisors: 1, 2, 7, 14, 569, 1138, 3983, 7966

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111100011110

Octal: 17436

Duodecimal: 473A

Hexadecimal: 1f1e

Square: 63457156

Square Root: 89.25245094673872

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) = 4·n² - 3·n + 1. A54552

Number of partitions of n without three consecutive parts in arithmetic progression. A238424

Generalized 23-gonal (or icositrigonal) numbers: m*(21·m - 19)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303303

Number of integer partitions of n that have an even number of parts and cannot be partitioned into distinct pairs of distinct parts, i.e., that are not the multiset union of any set of edges. A339559

Expansion of ∏_{m >= 1} (1 + q^m)^-2. A22597

23-gonal numbers: a(n) = n(21n-19)/2. A51875

Coefficients of replicable function number "48g". A73252

Expansion of φ(x²) / f(-x) in powers of·where φ(), f() are Ramanujan θ functions. A226622

Expansion of ∏_k=1..7 (1+x^2·k-1)/(1-x^2·k). A316719

Number of ways to write n as an ordered sum of 7 nonzero decimal palindromes. A341204