Properties of the Number 10058

Ten Thousand Fifty-Eight

Basics

Value: 10057 → 10058 → 10059

Parity: even

Prime: No

Previous Prime: 10039

Next Prime: 10061

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 47 × 107

Divisors: 1, 2, 47, 94, 107, 214, 5029, 10058

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10011101001010

Octal: 23512

Duodecimal: 59A2

Hexadecimal: 274a

Square: 101163364

Square Root: 100.28958071504736

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(n)³ is smallest cube containing exactly n 1's. A48366

n sets a new record for the index of the (presumably) last palindrome in the 'Reverse and Add' trajectory of n. A70743

Number of times the digit 3 appears in the first 10ⁿ decimal digits of sqrt(2), sometimes called Pythagoras's constant, counting after the decimal point. A322644

Expansion of Molien series for 8-dimensional real Clifford group 2¹⁺⁶.Alt₈.2 of genus 3 and order 5160960. A24186

Write 0, 1, 2, 3, 4, ... in a triangular spiral, then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0, 7, ... A62725

G.f. A(x) satisfies: A(x) = x * (1 + x·A'(x)) / (1 - x·A'(x)). A301388

Number of partitions p of n such that min(p) <= (number of parts of p) < max(p). A325341

Number of partitions of (5, n) into a sum of distinct pairs. A268348

Number of partitions of n with equal number of parts congruent to each of 1, 2 and 3 (mod 4). A46769

Smallest k such that the concatenation 123...(k-1) k (k-1)...321 ( a concatenation of natural numbers from 1 to k and back to 1) is a multiple of prime(n), or 0 if no such number exists. A77187