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Properties of the Number 1054

One Thousand Fifty-Four

Basics

Value: 1053 → 1054 → 1055

Parity: even

Prime: No

Previous Prime: 1051

Next Prime: 1061

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 17 × 31

Divisors: 1, 2, 17, 31, 34, 62, 527, 1054

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000011110

Octal: 2036

Duodecimal: 73A

Hexadecimal: 41e

Square: 1110916

Square Root: 32.46536616149585

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

Centered triangular numbers: a(n) = 3·n*(n-1)/2 + 1. A5448
Increasing sequence generated by these rules: a(1)=1, and if·is in a then 3x-2 and 4x-2 are in a. A191113
a(n) = n*(n+3). A28552
Generalized 9-gonal (or enneagonal) numbers: m*(7·m - 5)/2 with m = 0, 1, -1, 2, -2, 3, -3, ... A118277
a(n) = least positive k such that the remainder when 3k is divided by k is n. A78457
Number of integer partitions of n whose differences (with the last part taken to be 0) are distinct. A325324
Numbers k such that k8 + 1 is prime. A6314
Numbers n such that the number of squarefree numbers between prime(n) and prime(n+1) = prime(n+1)-prime(n)-1. A68361
Numbers that are the sum of 11 positive 6th powers. A3367
Irregular triangle read by rows: Take a regular n-sided polygon (n>=3) with all diagonals drawn, as in A007678. Then T(n,k) = number of k-sided polygons in that figure for k = 3, 4, ..., maxk. A331450