Properties of the Number 49925

Forty-Nine Thousand Nine Hundred Twenty-Five

Basics

Value: 49924 → 49925 → 49926

Parity: odd

Prime: No

Previous Prime: 49921

Next Prime: 49927

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 5 ² × 1997

Divisors: 1, 5, 25, 1997, 9985, 49925

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100001100000101

Octal: 141405

Duodecimal: 24A85

Hexadecimal: c305

Square: 2492505625

Square Root: 223.4390297150433

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

a(n) = (n + 1)*(20·n² + 19·n + 6)/6. A220084

G.f. A(x) satisfies: A(A(x)) = x+x² + x·A(A(A(A(x)))). A213009

G.f.: ∑_n>=0 (n+1)*(n+2)/2·xⁿ * (1 + xⁿ)ⁿ. A326003

Number of nX7 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically. A207023

Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically. A207029

a(n) = 10·a(n-3) - a(n-6) + 4 for n>5, a(0)=2, a(1)=3, a(2)=5, a(3)=12, a(4)=29, a(5)=51. A233231

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 49", based on the 5-celled von Neumann neighborhood. A270016

T(n,k) = Number of n X k 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically. A207024

a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2^p+1 + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1 and a(2) = a(3) = 3. A49925