Properties of the Number 97986

Ninety-Seven Thousand Nine Hundred Eighty-Six

Basics

Value: 97985 → 97986 → 97987

Parity: even

Prime: No

Previous Prime: 97973

Next Prime: 97987

Digit Sum: 39

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 7 × 2333

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 2333, 4666

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111011000010

Octal: 277302

Duodecimal: 48856

Hexadecimal: 17ec2

Square: 9601256196

Square Root: 313.0271553715428

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

Number of integer partitions of n such that the maximum is greater than or equal to twice the median. A361859

Numbers m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,67. A65701

a(n) = ∑_{k=0..floor(n/3)} binomial(2·k,k) * binomial(n-1,n-3·k). A393274

Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,45. A64259

Number of 0..n arrays of length 7 with each element differing from at least one neighbor by 1 or less, starting with 0. A221686

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (-1, 0, -1), (1, 0, 0), (1, 1, 1)}. A150349

Number of strict integer partitions of n with a part dividing all the other parts. A97986