Properties of the Number 61054

Sixty-One Thousand Fifty-Four

Basics

Value: 61053 → 61054 → 61055

Parity: even

Prime: No

Previous Prime: 61051

Next Prime: 61057

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 7 ³ × 89

Divisors: 1, 2, 7, 14, 49, 89, 98, 178, 343, 623

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110111001111110

Octal: 167176

Duodecimal: 2B3BA

Hexadecimal: ee7e

Square: 3727590916

Square Root: 247.09107632611907

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

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 2 or 4 neighboring 1s. A297694

a(0) = a(1) = 1, a(2) = x, a(3) = 2x², a(n) = x*(n-1)*a(n-1) + ∑_j=2..n-2 (j-1)*a(j)*a(n-j), n>=4 and for x = 7. A113134

List of base-ten k-balanced factorization integers: The combined digits of an integer and its factorization primes and exponents contain exactly k copies of each of the ten digits, for some k. A273260

Number T(n,k) of endofunctions on [n] with exactly k cycles of length larger than 1; triangle T(n,k), n>=0, 0<=k<=floor(n/2), read by rows. A350446

Number of nX4 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 2 or 4 neighboring 1s. A297690

Number of 6Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 2 or 4 neighboring 1s. A297699

Numbers k such that 127·2^k+1 is prime. A32413

Numbers that together with their prime factors contain every digit exactly once. A124668

a(n) = floor(n + n^3/4). A61054