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Properties of the Number 10305

Ten Thousand Three Hundred Five

Basics

Value: 10304 → 10305 → 10306

Parity: odd

Prime: No

Previous Prime: 10303

Next Prime: 10313

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 2 × 5 × 229

Divisors: 1, 3, 5, 9, 15, 45, 229, 687, 1145, 2061

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10100001000001

Octal: 24101

Duodecimal: 5B69

Hexadecimal: 2841

Square: 106193025

Square Root: 101.51354589413178

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) = 10·binomial(n,2) + 9·n. A135705
Sum of GCD's of parts in all partitions of n. A78392
Number T(n,k) of colored integer partitions of n using all colors of a k-set such that all parts have different color patterns and a pattern for part i has i colors in (weakly) increasing order; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A327116
Number of partitions of n in which each odd part has odd multiplicity. A131942
Subgroups of nimber addition interpreted as binary numbers. A190939
Arithmetic mean of two consecutive prime interprimes of second order: interprimes of third order. A126556
Decimal expansion of the number 734.000353982279850297391846... having continued fraction expansion 734, 2825, 5957, 10305, 13932, ... (interprimes of third order A126556). A127559
a(n) = (16/3)*(n+1)*n*(n-1) + 8·n2 + 1. A212668
a(n) is the least positive integer such that nextprime(a(n)n) - prevprime(a(n)n) = 4. A90125
a(n) = n3 + sum((-1)j*a(j)); for j=1 to n-1; a(1)=1. A153286