Properties of the Number 8125

Eight Thousand One Hundred Twenty-Five

Basics

Value: 8124 → 8125 → 8126

Parity: odd

Prime: No

Previous Prime: 8123

Next Prime: 8147

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 ⁴ × 13

Divisors: 1, 5, 13, 25, 65, 125, 325, 625, 1625, 8125

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110111101

Octal: 17675

Duodecimal: 4851

Hexadecimal: 1fbd

Square: 66015625

Square Root: 90.13878188659973

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

Pentagonal pyramidal numbers: a(n) = n²*(n+1)/2. A2411

Least positive integer that is the sum of two squares of positive integers in exactly n ways. A16032

Dispersion of A047218, (numbers >1 and congruent to 0 or 3 mod 5), by antidiagonals. A191724

Least number which is the sum of two distinct nonzero squares in exactly n ways. A93195

a(n) = ((5+sqrt(5))/2)ⁿ + ((5-sqrt(5))/2)ⁿ. A20876

Smallest k such that circle x² + y² = k passes through exactly 4n integer points. A18782

Numbers of the form q1^b1 * q2^b2 * q3^b3 * q4^b4 * q5^b5 * ... where q1=5, q2=13, q3=17, q4=29, q5=37, ... (A002144) and b1 >= b2 >= b3 >= b4 >= b5 >= .... A54994

Binomial transform of Fibonacci(2n-1) (A001519). A93129

Square array a(m,n) read by antidiagonals, defined by A000010(n)*a(m,n) = ∑_{k=1..n, gcd(k,n)=1} m^{∑_d∣n A000010(d)/ (multiplicative order of k modulo d)}. A132191

Positive numbers whose product of digits is 5 times their sum. A62382