Properties of the Number 1053

One Thousand Fifty-Three

Basics

Value: 1052 → 1053 → 1054

Parity: odd

Prime: No

Previous Prime: 1051

Next Prime: 1061

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 13

Divisors: 1, 3, 9, 13, 27, 39, 81, 117, 351, 1053

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10000011101

Octal: 2035

Duodecimal: 739

Hexadecimal: 41d

Square: 1108809

Square Root: 32.449961479175904

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

Triangular matchstick numbers: a(n) = 3·n*(n+1)/2. A45943

Odd numbers of the form p^1+4k * r², where p is prime of the form 1+4m, r > 1, and gcd(p,r) = 1. (Euler's criteria for odd perfect numbers). A228058

Triangular array: the fusion of (x+1)ⁿ and (x+2)ⁿ; see Comments for the definition of fusion. A193722

Number of partitions of n that sorted in increasing order do not contain a part k in position k. A238394

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n and height k (1 <= k <= n). A80936

Product of the 4th power of a prime (A030514) and a different prime (p⁴*q). A178739

Iccanobif numbers: reverse digits of two previous terms and add. A1129

Triangle read by rows: T(n,k) = number of n-node graphs with k nodes in distinguished bipartite block, k = 0..n. A28657

V-toothpick (or honeycomb) sequence (see Comments lines for definition). A161206

Numbers that are the sum of 10 positive 6th powers. A3366