Properties of the Number 15748

Fifteen Thousand Seven Hundred Forty-Eight

Basics

Value: 15747 → 15748 → 15749

Parity: even

Prime: No

Previous Prime: 15739

Next Prime: 15749

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 31 × 127

Divisors: 1, 2, 4, 31, 62, 124, 127, 254, 508, 3937

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110110000100

Octal: 36604

Duodecimal: 9144

Hexadecimal: 3d84

Square: 247999504

Square Root: 125.49103553640794

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

a(1) = 2, a(n) = σ(a(n-1)). A7497

-2-Knödel numbers. A225506

a(n) = (3·n+1)*(3·n+4). A85001

Records in A065925. A65927

a(n) = σⁿ(n), where σⁿ denotes functional iteration. A90896

Sum of the heights of all dispersed Dyck paths of length n (i.e., of Motzkin paths of length n with no (1,0) steps at positive heights). A191315

Number of arrangements of 3 nonzero numbers x(i) in -n..n with the sum of trunc(x(i)/x(i+1)) equal to zero. A189546

Number of length n arrays of permutations of 0..n-1 with each element moved by -6 to 6 places and every three consecutive elements having its maximum within 4 of its minimum. A263701

Denominators of triangle related to enumeration of minimal 2-covers of a labeled n-set. A280753

Length of longest cycle in n-th row of A329278 (triangular numbers mod 2ⁿ). A330766