Properties of the Number 17127

Seventeen Thousand One Hundred Twenty-Seven

Basics

Value: 17126 → 17127 → 17128

Parity: odd

Prime: No

Previous Prime: 17123

Next Prime: 17137

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 173

Divisors: 1, 3, 9, 11, 33, 99, 173, 519, 1557, 1903

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100001011100111

Octal: 41347

Duodecimal: 9AB3

Hexadecimal: 42e7

Square: 293334129

Square Root: 130.87016466712342

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

Digitally balanced numbers in base 4: equal numbers of 0's, 1's, ... 3's. A49355

Let P1>=3, P2, P3 be consecutive primes, with P3-P2=2. a(n)=(P2+P3)/12 when P2-P1 sets a record. A329158

Expansion of ∏_k>=1 (∏_j=1..k (1 + x^k·j)^j). A327063

Exponents k where A000120(3^k) - A070939(3^k)/2 reaches a new maximum. A372099

Let P1 >= 3, P2, P3 be consecutive primes, with P3 - P2 = 2. a(n) = (P2 + P3)/12 for the first occurrence of (P2 - P1)/2 = n. A329251

Expansion of (1-sqrt(1-8·x))/((1-x)*(4·x*sqrt(1-8·x))). A98405

Number of n X 4 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero. A298217

Number of partitions of n into parts not of the form 25k, 25k+9 or 25k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 11 are greater than 1. A36008

Numbers whose base-5 representation contains exactly three 0's and three 2's. A45187

Number of nX5 0..1 arrays with every element equal to 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A298954