Properties of the Number 61757

Sixty-One Thousand Seven Hundred Fifty-Seven

Basics

Value: 61756 → 61757 → 61758

Parity: odd

Prime: Yes

Previous Prime: 61751

Next Prime: 61781

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 61757

Divisors: 1, 61757

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111000100111101

Octal: 170475

Duodecimal: 2B8A5

Hexadecimal: f13d

Square: 3813927049

Square Root: 248.50955716028307

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

T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..3 order. A222654

Primes of the form ∑_k=1..n φ(prime(k)). A101302

Number of nX3 0..3 arrays with no more than floor(nX3/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..3 order. A222652

Number of nX4 0..3 arrays with no more than floor(nX4/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..3 order. A222653

Primes which become cubes when the digits are rotated once to the left. A234929

Positive integers k such that k! is divisible by (k+1)⁹. A61757

Number of length n+3 0..5 arrays with no four consecutive terms having the maximum of any two terms equal to the minimum of the remaining two terms. A250384

Primes p1 such that, with p2, p3, p4 the next three primes, p1·p2+p3·p4+p1, p1·p2+p3·p4+p2, p1·p2+p3·p4+p3 and p1·p2+p3·p4+p4 are all prime. A340126