Properties of the Number 61398

Sixty-One Thousand Three Hundred Ninety-Eight

Basics

Value: 61397 → 61398 → 61399

Parity: even

Prime: No

Previous Prime: 61381

Next Prime: 61403

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁴ × 379

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110111111010110

Octal: 167726

Duodecimal: 2B646

Hexadecimal: efd6

Square: 3769714404

Square Root: 247.7861981628517

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 (n+2) X (k+2) binary matrices with every 3 X 3 block having exactly four 1's. A181262

Cycle-path coverings of a family of digraphs. A30236

Number of (n+2)X9 binary matrices with every 3X3 block having exactly four 1's. A181261

Number of (n+2) X 3 binary matrices with every 3 X 3 block having exactly four 1's. A181255

Number of n-length words w over a 10-ary alphabet such that w is empty or a prefix z concatenated with letter a_i and i=1 or 0 < #(z,a_i-1) >= #(z,a_i), where #(z,a_i) counts the occurrences of the i-th letter in z. A240616

Number of n-length words w over an n-ary alphabet such that w is empty or a prefix z concatenated with letter a_i and i=1 or 0 < #(z,a_i-1) >= #(z,a_i), where #(z,a_i) counts the occurrences of the i-th letter in z. A240617

a(0) = 0, and for n > 0, (a(n)) gives the indices n for which d(n) > d(k) for k < n, where d is the difference sequence of (cos k + sin k). A299639

a(n) is the sum of all products of pairs of numbers joined by the diagonals of an n-gon when its vertices are numbered from 1 to n in order. A337130

Number of squarefree integers between prime(n) and prime(n+1). A61398

Number of (n+1)X3 0..2 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing. A203959