Properties of the Number 97956

Ninety-Seven Thousand Nine Hundred Fifty-Six

Basics

Value: 97955 → 97956 → 97957

Parity: even

Prime: No

Previous Prime: 97943

Next Prime: 97961

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 907

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10111111010100100

Octal: 277244

Duodecimal: 48830

Hexadecimal: 17ea4

Square: 9595377936

Square Root: 312.9792325378794

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

Floor of sums of the non-integer fourth roots of n, as partitioned by the integer roots: floor(∑_{j=n⁴+1..(n+1)⁴-1} j^1/4). A248698

Augmentation of the triangular array P given by p(n,k)=k! for 0<=k<=n. See Comments. A193092

Numbers k such that k and k² use only the digits 3, 5, 6, 7 and 9. A137133

Numerator of Hermite(n, 9/31). A160307

Number of length-5 0..n arrays with no repeated value differing from the previous repeated value by other than plus two, zero or minus 1. A269621

O.g.f.: ∑_n>=0 (n²+n+1)ⁿ * exp(-(n²+n+1)*x) * xⁿ / n!. A222523

T(n,k)=Number of length-n 0..k arrays with no repeated value differing from the previous repeated value by other than plus two, zero or minus 1. A269619

Primes p such that p divides 5^p-1/2 - 3^p-1/2. A97956

Number of nX4 0..1 arrays with every element equal to 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero. A298715