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Properties of the Number 5205

Five Thousand Two Hundred Five

Basics

Value: 5204 → 5205 → 5206

Parity: odd

Prime: No

Previous Prime: 5197

Next Prime: 5209

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 347

Divisors: 1, 3, 5, 15, 347, 1041, 1735, 5205

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010001010101

Octal: 12125

Duodecimal: 3019

Hexadecimal: 1455

Square: 27092025

Square Root: 72.14568594171102

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

T(n,k) is the number of -k..k arrays of n elements with first, second and third differences also in -k..k. A202124
a(n) = ∑d∣n d·2d-1 for n > 0. A83413
Sum of the second largest parts in the partitions of n into 7 squarefree parts. A308959
Conjecturally, largest attractor in '3x+(2n+1)' problem. A39515
T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 5 or 6 king-move adjacent elements, with upper left element zero. A304604
Numbers that are the sum of ten fourth powers in six or more ways. A345599
Numbers that are the sum of ten fourth powers in exactly six ways. A345858
a(n) = ((6·n+37)*4n - 1)/3. A72259
a(1)=1 (first row) and then the n-th row of this triangle contains the least set of n unused natural numbers whose sum is k·the sum of the previous row, with k being an integer > 1. A94280
Triangle of numbers generated by the Nekrasov-Okounkov formula. A210590