Properties of the Number 54750

Fifty-Four Thousand Seven Hundred Fifty

Basics

Value: 54749 → 54750 → 54751

Parity: even

Prime: No

Previous Prime: 54727

Next Prime: 54751

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 ³ × 73

Divisors: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101010111011110

Octal: 152736

Duodecimal: 27826

Hexadecimal: d5de

Square: 2997562500

Square Root: 233.9871791359518

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

Triangle T(n,k) read by rows: the number of traceless symmetric binary n X n matrices with 2k one's and no all-1 2 X 2 submatrix. A352472

G.f. A(x) satisfies: 4ⁿ - 1 = ∑_k=0..n [x^k] A(x)ⁿ and also satisfies: (4+z)ⁿ - (1+z)ⁿ + zⁿ = ∑_k=0..n [x^k](A(x)+z·x)ⁿ for all z, where [x^k] A(x)ⁿ denotes the coefficient of x^k in A(x)ⁿ. A100228

a(n+1) = a(n) + (if a(n) is odd then (next odd square) else (next even square)), a(0) = 1. A116955

a(n) = 36·n² - 6. A158462

Number of n X 7 0..1 arrays with every element unequal to 0, 1 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A299594

Smallest prime number whose digits sum to n-th prime. A54750

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A299595

Number of (n+2)X(7+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259005

Number of 3Xn 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281767