Properties of the Number 34225

Thirty-Four Thousand Two Hundred Twenty-Five

Basics

Value: 34224 → 34225 → 34226

Parity: odd

Prime: No

Previous Prime: 34217

Next Prime: 34231

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 ² × 37 ²

Divisors: 1, 5, 25, 37, 185, 925, 1369, 6845, 34225

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010110110001

Octal: 102661

Duodecimal: 17981

Hexadecimal: 85b1

Square: 1171350625

Square Root: 185

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

Numbers n that are the hypotenuse of exactly 12 distinct integer-sided right triangles, i.e., n² can be written as a sum of two squares in 12 ways. A97226

a(n) = (6·n + 5)². A16970

a(n) is the least k such that sopfr(k) - sopf(k) = n. A280286

a(n) = (5·n)². A16850

a(n) = (11·n + 9)². A17498

a(n) = (8·n + 1)². A17078

Squares with initial digit '3'. A45786

Square numbers that remain square when their most-significant (or leftmost) digit is removed. A225885

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change (+-,+-) 0,0 1,2 or 1,0. A264003

Number of ways to fill a matrix with the parts of a strict integer partition of n. A323301