Properties of the Number 77351

Seventy-Seven Thousand Three Hundred Fifty-One

Basics

Value: 77350 → 77351 → 77352

Parity: odd

Prime: Yes

Previous Prime: 77347

Next Prime: 77359

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 77351

Divisors: 1, 77351

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010111000100111

Octal: 227047

Duodecimal: 3891B

Hexadecimal: 12e27

Square: 5983177201

Square Root: 278.1204774913203

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

Lower triangular matrix T, read by rows, such that T(n,0) = 1 and T(n,k) = T(n-1,k) + T²(n-1,k-1) for k>0, where T² is the matrix square of T. A97712

First noncomposite number reached when iterating the map x -> x', when starting from x = A351255(n). Here x' is the arithmetic derivative of x, A003415. A351259

Irregular triangle where row n lists primes q below the n-th primorial such that the multiplicative order of q mod the n-th primorial is 2. I.e., such primes q having the least k such that q^k (mod primorial(n)) == 1 is 2. A336015

Lower triangular matrix T, read by rows, such that row (n) is formed from the sums of adjacent terms in row (n-1) of the matrix square T², with T(0,0)=1. A97710

Rectangular table where column k equals row sums of matrix power A097712^k, read by antidiagonals. A125860

Smallest multiple of n using all the digits of all its divisors (a permutation of the concatenation of its divisors), or 0 if no such number exists. A77351