Properties of the Number 61074

Sixty-One Thousand Seventy-Four

Basics

Value: 61073 → 61074 → 61075

Parity: even

Prime: No

Previous Prime: 61057

Next Prime: 61091

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁴ × 13 × 29

Divisors: 1, 2, 3, 6, 9, 13, 18, 26, 27, 29

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110111010010010

Octal: 167222

Duodecimal: 2B416

Hexadecimal: ee92

Square: 3730033476

Square Root: 247.13154391942766

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

Number of partitions of n which contain their signature as a subpartition. A118052

Number of irreducible representations of the symmetric group S_n such that their degree is divisible by 3. A61569

a(n) = 3·trinomial(n+1,0) - trinomial(n+2,0). A103872

Expansion of x²*(10-5·x+x²)/((1-x)⁴*(1-x²)). A331429

Number of nX5 0..4 arrays with each element equal to the number its horizontal and vertical neighbors equal to itself. A195966

Expansion of ( (1 + 3·x)/(1 - x) )^1/2. A372023

T(n,k)=Number of nXk 0..4 arrays with each element equal to the number of its horizontal and vertical neighbors equal to itself. A195969

Smallest number that begins with 1, has digits in order 123...901... and is divisible by n. If no such number exists then a(n) = 0. A61074