Properties of the Number 10053

Ten Thousand Fifty-Three

Basics

Value: 10052 → 10053 → 10054

Parity: odd

Prime: No

Previous Prime: 10039

Next Prime: 10061

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1117

Divisors: 1, 3, 9, 1117, 3351, 10053

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10011101000101

Octal: 23505

Duodecimal: 5999

Hexadecimal: 2745

Square: 101062809

Square Root: 100.26464980241042

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 partitions of n such that the number of even parts is a part. A240573

Number of truth tables of bracketed formulas (case 3). A218045

Main diagonal of A332357. A332358

Numbers that yield a prime when prime(k+2) is inserted after the k-th digit (or prime(1) = 2 before the 1st digit for k=0), for 0 <= k <= number of digits. A304243

a(n) = n*(67·n - 89)/2. A263227

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0ⁿ and T(n,k) = k * ∑_r=0..n binomial(n+2·r+k,r) * binomial(r,n-r)/(n+2·r+k) for k > 0. A378290

Shadow of π. A110621

Write 0, 1, ..., n in base 3 and add as if they were decimal numbers. A121718

Indices of even terms in A249064. A249557

a(0) = 1, a(n) = 19·n² + 2 for n>0. A10009