Properties of the Number 35968

Thirty-Five Thousand Nine Hundred Sixty-Eight

Basics

Value: 35967 → 35968 → 35969

Parity: even

Prime: No

Previous Prime: 35963

Next Prime: 35969

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ⁷ × 281

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 281, 562

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000110010000000

Octal: 106200

Duodecimal: 18994

Hexadecimal: 8c80

Square: 1293697024

Square Root: 189.65231345807516

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

Numbers k whose deficiency is 26: 2·k - σ(k) = 26. A275702

G.f. A(x) satisfies A(x) = 1 + x·A(x) / (1 - x·A(x)⁴). A364723

Number of partitions of {1...n} containing 3 strings of 3 consecutive integers, where each string is counted within a block and a string of more than 3 consecutive integers are counted three at a time. A105485

Number of permutations of {1,...,n} avoiding adjacent step pattern up, down, up, down, up, down. A177543

Number of binary words of length n containing exactly two (possibly overlapping) occurrences of the subword 01101. A317781

Number of (n+1) X 4 0..1 arrays with the number of rightwards and downwards edge increases in each 2 X 2 subblock equal to the number in all its horizontal and vertical neighbors. A206262

Integer part of the area of circles with prime radii. A97427

Numbers m whose symmetric representation of σ(m), SRS(m), has at least 2 parts the first of which has width 1. A378471

Number of (n+1)X(1+1) 0..7 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 26. A233718

Number of 6Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-1) and new values introduced in order 0..2. A275270