Properties of the Number 99657

Ninety-Nine Thousand Six Hundred Fifty-Seven

Basics

Value: 99656 → 99657 → 99658

Parity: odd

Prime: No

Previous Prime: 99643

Next Prime: 99661

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 3691

Divisors: 1, 3, 9, 27, 3691, 11073, 33219, 99657

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000010101001001

Octal: 302511

Duodecimal: 49809

Hexadecimal: 18549

Square: 9931517649

Square Root: 315.68496955034146

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 T(n,k) of length 3n words such that all letters of the k-ary alphabet occur at least once and are introduced in ascending order and which can be built by repeatedly inserting triples of identical letters into the initially empty word; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A256311

Eight white queens and one red queen on a 3 X 3 chessboard. G.f.: (1 + 3·x)/(1 - 6·x - 3·x²). A180028

Expansion of e.g.f. (tan x + sec x)³. A292758

Number of words of length 3n such that all letters of the binary alphabet occur at least once and are introduced in ascending order and which can be built by repeatedly inserting triples into the initially empty word. A321032

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. (sec(x) + tan(x))^k. A322267

Smallest starting prime for n consecutive primes in arithmetic progression. A6560

a(n) is the least prime following A002277(n) repdigits. A99657

Prime 5-tuple 10000024493 + K·30 for K = 0 to 4. A293791