Properties of the Number 20701

Twenty Thousand Seven Hundred One

Basics

Value: 20700 → 20701 → 20702

Parity: odd

Prime: No

Previous Prime: 20693

Next Prime: 20707

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 127 × 163

Divisors: 1, 127, 163, 20701

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000011011101

Octal: 50335

Duodecimal: BB91

Hexadecimal: 50dd

Square: 428531401

Square Root: 143.87842089764538

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

Quasi-Carmichael numbers to exactly two bases. A257752

Number of set partitions of [n] into subsets whose element sums are distinct squares. A278339

Numbers k such that ∑_i=1..k i⁷ divides ∏_i=1..k i⁷. A166607

Number of times prime(n) occurs as the least prime factor among numbers 1 .. prime(n)⁴: a(n) = A078898(A030514(n)). A250478

Number of genetic relatives of a person M in a genealogical tree extending back n generations and where everyone has 7 children down to the generation of M. A358601

Numerators of the difference between the squarefree totient analogs of the harmonic numbers and the harmonic numbers: F_n-H_n. A138320

Ulam's spiral (NNW spoke). A143860

Number of paths joining opposite corners of an n X 2 grid with every vertex appearing at most twice in the path. A239688

Total sum of the left-to-right maxima in all compositions of n into distinct parts. A336771

E.g.f. satisfies A(x) = exp( x/(1 - x/A(x)³) ). A361092