Properties of the Number 21948

Twenty-One Thousand Nine Hundred Forty-Eight

Basics

Value: 21947 → 21948 → 21949

Parity: even

Prime: No

Previous Prime: 21943

Next Prime: 21961

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 31 × 59

Divisors: 1, 2, 3, 4, 6, 12, 31, 59, 62, 93

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010110111100

Octal: 52674

Duodecimal: 10850

Hexadecimal: 55bc

Square: 481714704

Square Root: 148.14857407346182

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

Sum of numbers in the n-th antidiagonal of the reciprocity array of 3. A259583

Numbers·such that there exist three integers 0<x<=y, z>0 and w>0 such that σ(x)³ = σ(y)³ = x³ + y³ + z³ + w³. A385397

Left part of the square of the n-th Kaprekar number. A194218

Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+x+y>1. A211613

n³*a(n) is the number of circles in complex projective plane tangent to three smooth curves of degree n in general position. A30653

a(n) = floor(1/{(10+n⁴)^1/4}), where {}=fractional part. A184634

Nonnegative values·of solutions (x, y) to the Diophantine equation x² + (x+84847)² = y². A201917

Number of -2..2 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^t+u+v) having two, four or five distinct values for every i,j,k<=n. A211569

Number of idempotent 4X4 0..n matrices of rank 3. A224335

a(n) = -a(n-1) - a(n-2) + a(n-3) - a(n-5). A89134