Properties of the Number 76146

Seventy-Six Thousand One Hundred Forty-Six

Basics

Value: 76145 → 76146 → 76147

Parity: even

Prime: No

Previous Prime: 76129

Next Prime: 76147

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 ³ × 37

Divisors: 1, 2, 3, 6, 7, 14, 21, 37, 42, 49

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010100101110010

Octal: 224562

Duodecimal: 38096

Hexadecimal: 12972

Square: 5798213316

Square Root: 275.94564682197836

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

The least number k > A255334(n) for which A000203(k) = A000203(A255334(n)) and A007947(k) = A007947(A255334(n)), where A000203 gives the sum of divisors, and A007947 gives the squarefree kernel of n. A255423

Numbers n for which there exists k < n such that A000203(k) = A000203(n) and A007947(k) = A007947(n), where A000203 gives the sum of divisors, and A007947 gives the squarefree kernel of n. A255335

Expansion of ∑_1<=i<=j<=k q^i+j+k/( (1-qⁱ)*(1-q^j)*(1-q^k) )². A374930

From a nim-like game. A3412

Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..7 array extended with zeros and convolved with 1,4,6,4,1. A221998

Numbers of the form a² + b³ equal to 1-almost-prime(m) + 2-almost-prime(m) + 2-almost-prime(n) + k-almost-prime(n). A113915

Coefficients of the expansion of:p(x,t)=(1 - x)/((1 - x·Exp[t*(1 - x)])*(1 - x·Exp[t*(1 + x)])). A168347

G.f. A(x) satisfies A(x)³ = 1 + x·A(x) + x·A(x)² + x·A(x)⁶. A300048

a(1) = 1; a(n) = a(n-1)*prime(a(n-1)). A76146