Properties of the Number 31798

Thirty-One Thousand Seven Hundred Ninety-Eight

Basics

Value: 31797 → 31798 → 31799

Parity: even

Prime: No

Previous Prime: 31793

Next Prime: 31799

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 13 × 1223

Divisors: 1, 2, 13, 26, 1223, 2446, 15899, 31798

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111110000110110

Octal: 76066

Duodecimal: 1649A

Hexadecimal: 7c36

Square: 1011112804

Square Root: 178.31993719155466

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..1 arrays with no 1 equal to more than three of its king-move neighbors, with the exception of exactly two elements. A282481

Number of partitions p of n such that the number of parts having multiplicity 1 is a part and max(p) - min(p) is not a part. A241449

Number of partitions of n with odd crank. A124228

a(1)=0; thereafter a(n) = A238824(n-1)+A238830(n-1). A238832

Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259002

Number of n X 2 0..1 arrays with no 1 equal to more than three of its king-move neighbors, with the exception of exactly two elements. A282475

a(n) is the least integer k such that the k-th, (k+1)-th, ..., (k+n-1)-th primes are congruent to 1 mod 4. A363016

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 1), (1, 0, -1), (1, 1, 0)}. A148777

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259006

Number of consecutive prime runs of 10 primes congruent to 1 mod 4 below 10ⁿ. A92663