Properties of the Number 6988

Six Thousand Nine Hundred Eighty-Eight

Basics

Value: 6987 → 6988 → 6989

Parity: even

Prime: No

Previous Prime: 6983

Next Prime: 6991

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 1747

Divisors: 1, 2, 4, 1747, 3494, 6988

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101001100

Octal: 15514

Duodecimal: 4064

Hexadecimal: 1b4c

Square: 48832144

Square Root: 83.59425817602546

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

G.f.: 1/p(x), where p(x) = degree 22 Salem polynomial p(x) = x²² + x²¹ - x¹⁹ - 2·x¹⁸ - 3·x¹⁷ - 3·x¹⁶ - 2·x¹⁵ + 2·x¹³ + 4·x¹² + 5·x¹¹ + 4·x¹⁰ + 2·x⁹ - 2·x⁷ - 3·x⁶ - 3·x⁵ - 2·x⁴ - x³ + x + 1. A143419

G.f.: ∏_k>=1 (1+x^k²) / (1-x^k). A280204

Moebius transform of tetrahedral numbers. A117108

Number of 3-regular bipartitions of n. A328547

7-step Fibonacci sequence starting with (0,0,1,0,0,0,0). A251713

Powers of sqrt(5) rounded to nearest integer. A17920

Powers of sqrt(5) rounded up. A17921

Shifts 1 place left under the INVERT transform of the BINOMIAL transform of the self-convolution of this sequence. A90366

a(n) = ∑_k=1..n k·floor(n/k)³. A350108

Number of numbers <= p² with largest prime factor <= p, where p is the n-th prime; a(0) = 1. A184677