Properties of the Number 78373

Seventy-Eight Thousand Three Hundred Seventy-Three

Basics

Value: 78372 → 78373 → 78374

Parity: odd

Prime: No

Previous Prime: 78367

Next Prime: 78401

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 181 × 433

Divisors: 1, 181, 433, 78373

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001000100101

Octal: 231045

Duodecimal: 39431

Hexadecimal: 13225

Square: 6142327129

Square Root: 279.95178156246834

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) = T(n,0) + T(n,1) + ... + T(n,n), T given by A026519. A26531

a(n) = ∑_j=0..n T(n, j), where T is given by A026552. A26564

Number of Motzkin excursions of length n with an even number of humps and an even number of peaks. A325922

a(n) = Product p_n·i^e_i if the prime factorization of n is Product p_i^e_i. A352028

n sets a record for the number of primes in {n, f(n), f(f(n)), ..., 1}, where f is the Collatz function defined by f(x) = x/2 if·is even; f(x) = 3x + 1 if·is odd. A78373

Number of ways to write n as a² + 2·b² + 2^c*3^d, where a,b,c,d are nonnegative integers. A308547