Properties of the Number 10241

Ten Thousand Two Hundred Forty-One

Basics

Value: 10240 → 10241 → 10242

Parity: odd

Prime: No

Previous Prime: 10223

Next Prime: 10243

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 7 ² × 11 × 19

Divisors: 1, 7, 11, 19, 49, 77, 133, 209, 539, 931

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000000001

Octal: 24001

Duodecimal: 5B15

Hexadecimal: 2801

Square: 104878081

Square Root: 101.19782606360673

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: Yes

OEIS Sequences

Cullen numbers: a(n) = n·2ⁿ + 1. A2064

Number of primitive subsequences of {1, 2, ..., n}. A51026

Numbers that are the sum of 11 positive 10th powers. A4811

Numbers that are the sum of 6 positive 11th powers. A4817

a(1)=1, a(n)=a(n-1)+n if n odd, a(n)=a(n-1)+ n² if n is even. A140113

Number of pairs (p,q) of partitions such that q is a partition of n and p <= q (diagram containment). A297388

a(n) = n·a(n-1) - a(n-2), with a(-1) = 0, a(0) = 1. A58797

a(0) = 6; for n>0, a(n) = 2·a(n-1) - 1. A83575

Array (a frieze pattern) defined by a(n,k) = (a(n-1,k)*a(n-1,k+1) - 1) / a(n-2,k+1), read by antidiagonals. A7754

Coefficients of a Ramanujan q-series. A143184