Properties of the Number 17629

Seventeen Thousand Six Hundred Twenty-Nine

Basics

Value: 17628 → 17629 → 17630

Parity: odd

Prime: No

Previous Prime: 17627

Next Prime: 17657

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 17 ² × 61

Divisors: 1, 17, 61, 289, 1037, 17629

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010011011101

Octal: 42335

Duodecimal: A251

Hexadecimal: 44dd

Square: 310781641

Square Root: 132.7742444904131

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 n such that 3ⁿ + 2^n-1 is prime. A82103

Row sums of triangle A135858. A135859

Composite numbers for which A324644(n)/A324198(n) = 2 and σ(n) == 2 (mod 4). A371082

In triangular peg solitaire, number of distinct feasible pairs starting with one peg missing and finishing with one peg. A130515

Numbers m such that the positive values of m - A002110(k) are all primes (k > 0). A68372

In triangular peg solitaire, number of distinct solvable feasible pairs starting with one peg missing and finishing with one peg. A130516

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k peaks in their peak plateaux (0<=k<=n-1). A peak plateau is a run of consecutive peaks that is preceded by an upstep and followed by a down step; a peak consists of an upstep followed by a downstep. A143953

Number of permutations of length n which avoid the patterns 1432, 2314, 3241. A116800

a(n) = 61·n². A174333

[ (4th elementary symmetric function of P(n))/(2nd elementary symmetric function of P(n)) ], where P(n) = {first n+3 primes}. A24456