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Properties of the Number 10205

Ten Thousand Two Hundred Five

Basics

Value: 10204 → 10205 → 10206

Parity: odd

Prime: No

Previous Prime: 10193

Next Prime: 10211

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 5 × 13 × 157

Divisors: 1, 5, 13, 65, 157, 785, 2041, 10205

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10011111011101

Octal: 23735

Duodecimal: 5AA5

Hexadecimal: 27dd

Square: 104142025

Square Root: 101.01980003939822

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

Number of partitions of n into prime power parts (1 included); number of nonisomorphic Abelian subgroups of symmetric group Sn. A23893
Number of topologically connected set partitions of {1,...,n}. A99947
Numbers m such that m and m+1 are consecutive lazy-Fibonacci-Niven numbers (A328212). A328213
Regular triangle read by rows where T(n,k) is the number of set partitions of {1,...,n} with k topologically connected components. A324173
Composite numbers such that the square mean of their prime factors is a nonprime integer (where the prime factors are taken with multiplicity and the square mean of c and d is sqrt((c2+d2)/2)). A134602
Number of integer partitions of n having no permutation with all equal run-lengths. A382915
T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A280673
T(n,k)=Number of -k..k arrays of n elements with first through fourth differences also in -k..k. A202664
Number of non-condensed integer partitions of n into parts > 1. A370804
Numbers k such that k8 == 1 (mod 93). A56084