Properties of the Number 77312

Seventy-Seven Thousand Three Hundred Twelve

Basics

Value: 77311 → 77312 → 77313

Parity: even

Prime: No

Previous Prime: 77291

Next Prime: 77317

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁹ × 151

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 151, 256

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010111000000000

Octal: 227000

Duodecimal: 388A8

Hexadecimal: 12e00

Square: 5977145344

Square Root: 278.05035515172426

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 ways to partition 2n into distinct positive integers. A35294

Numbers of the form p⁹*q where p and q are distinct primes. A179692

Number of ways to partition 4·n into distinct positive integers. A78406

a(n) is the smallest number which can be represented as the sum of n n-almost primes in exactly n ways, or -1 if no such number exists. A365493

Number of subsets of {-n..n} whose sum of reciprocals is 1. A379335

Smallest k such that the concatenation of natural numbers from (n+1) to k is a multiple of n. A77312

G.f.: 1 = ...((((1/(1-x) - a(1)*x )² - a(2)*x² )² - a(3)*x³ )² - a(4)*x⁴ )² -..., an infinite series of nested squares. A274961

Number of (n+1) X 4 binary arrays with every 2 X 2 subblock trace equal to exactly one or two horizontal and vertical neighbor 2 X 2 subblock traces. A186933

Number of 4Xn 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A280402