Properties of the Number 34125

Thirty-Four Thousand One Hundred Twenty-Five

Basics

Value: 34124 → 34125 → 34126

Parity: odd

Prime: No

Previous Prime: 34123

Next Prime: 34127

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 ³ × 7 × 13

Divisors: 1, 3, 5, 7, 13, 15, 21, 25, 35, 39

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010101001101

Octal: 102515

Duodecimal: 178B9

Hexadecimal: 854d

Square: 1164515625

Square Root: 184.72953201911167

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

Odd infinitary abundant numbers. A127666

Heinz numbers of integer partitions with the same number of even parts, odd parts, even conjugate parts, and odd conjugate parts. A350947

Odd bi-unitary abundant numbers: odd numbers k such that bsigma(k) > 2·k, where bsigma is the sum of the bi-unitary divisors function (A188999). A293186

Triangle, read by rows, given by the product R³*P^-1 using triangular matrices P=A113370, R=A113389. A114152

Triangle, read by rows, equal to the matrix square of A113370. Also given by the product: P² = Q*(R^-2)*Q³, using triangular matrices P=A113370, Q=A113381 and R=A113389. A113374

Wiener index of a benzenoid consisting of a double-step zig-zag chain of n hexagons (n >= 2, s = 2123; see the Gutman et al. reference). A193395

Odd abundant numbers with a record small gap to the next odd abundant number. A294025

Numbers k such that φ(k)=p², where p is product of digits of k. A153427

Odd nonexponential abundant numbers: odd numbers k such that A160135(k) > k. A348605

Eighth diagonal (m=7) of triangle A084938; a(n) = A084938(n+7,n) = (n⁷ + 63·n⁶ + 1855·n⁵ + 34125·n⁴ + 438424·n³ + 3980172·n² + 20946960·n)/5040. A90393