Properties of the Number 17124

Seventeen Thousand One Hundred Twenty-Four

Basics

Value: 17123 → 17124 → 17125

Parity: even

Prime: No

Previous Prime: 17123

Next Prime: 17137

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 1427

Divisors: 1, 2, 3, 4, 6, 12, 1427, 2854, 4281, 5708

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100001011100100

Octal: 41344

Duodecimal: 9AB0

Hexadecimal: 42e4

Square: 293231376

Square Root: 130.85870242364473

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 which are the sum of their proper divisors containing the digit 5. A59464

Sum of the seventh largest parts in the partitions of n into 8 parts. A308991

Total number of inversions in all partitions of n into distinct parts. A271371

Numbers missing from A001033 despite satisfying the necessary congruence conditions (see comments). A274470

Expansion of o.g.f. 1/(1 - 4·x - 6·x² - 4·x³ - x⁴). A374454

McKay-Thompson series of class 14a for Monster. A58505

Number of length n arrays of permutations of 0..n-1 with each element moved by -3 to 3 places and the total absolute value of displacements not greater than n. A263934

a(n) = n! * ∑_k=1..n Stirling1(n,k) * H(k), where H(k) is the k-th harmonic number. A354686

Primes that become squares when prefixed with a 7. A167740

T(n,k)=Number of length n arrays of permutations of 0..n-1 with each element moved by -k to k places and the total absolute value of displacements not greater than n. A263939