Properties of the Number 10537

Ten Thousand Five Hundred Thirty-Seven

Basics

Value: 10536 → 10537 → 10538

Parity: odd

Prime: No

Previous Prime: 10531

Next Prime: 10559

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 41 × 257

Divisors: 1, 41, 257, 10537

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100101001

Octal: 24451

Duodecimal: 6121

Hexadecimal: 2929

Square: 111028369

Square Root: 102.6498904042279

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

Smallest number m such that the trajectory of m under iteration of Euler's totient function φ(n) [A000010] contains exactly n distinct numbers, including m and the fixed point. A7755

An Ulam-type sequence: a(n) = n if n<=10; for n>10, a(n) = least number > a(n-1) which is a unique sum of 10 distinct earlier terms. A183533

Smallest nonprime number which if used as initial term for iteration of the A000010[x] function, results in list-to-fixed-point of length=n, or 0 if no such number exists. A98196

Numbers k such that k and 8·k, taken together, are pandigital. A114126

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 145", based on the 5-celled von Neumann neighborhood. A279150

Denominators of continued fraction convergents to sqrt(970). A42877

Semiprimes p1·p2 such that p2 > p1 and p2 mod p1 = 11. A64909

Sum of next n odd interprimes. A75674

Semiprimes which have one or more occurrences of exactly five different digits. A235693

Number of brilliant numbers < 10ⁿ. A86846