Properties of the Number 20271

Twenty Thousand Two Hundred Seventy-One

Basics

Value: 20270 → 20271 → 20272

Parity: odd

Prime: No

Previous Prime: 20269

Next Prime: 20287

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 29 × 233

Divisors: 1, 3, 29, 87, 233, 699, 6757, 20271

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111100101111

Octal: 47457

Duodecimal: B893

Hexadecimal: 4f2f

Square: 410913441

Square Root: 142.37626206639925

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

Number of cyclic compositions (necklaces of positive integers) summing to n that have only one part or whose consecutive parts (including the last with first) are indivisible. A318729

Number T(n,k) of partitions of [n] having exactly k parity changes within the partition, n>=0, 0<=k<=max(0,n-1), read by rows. A363519

Odd numbers m for which A379113(m²) > 1, i.e., k = m² has a proper unitary divisor d > 1 such that A048720(A065621(σ(d)),σ(k/d)) is equal to σ(k). A379122

Expansion of (1/x) * Series_Reversion( x * (1-x) / (1+x²)² ). A369226

Numbers k such that 95·2^k+1 is prime. A32397

First minimum value > 0 of the form x³-k² when k > n³. A70959

Expansion of (1-x)^-1/(1+x-x²-2·x³). A77901

Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=0, k=-1 and l=-1. A176952

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A384974. A384977

Number of n-digit numbers that are divisible by a square and have the same property if any number of rightmost digits is deleted. A237608