Properties of the Number 87129

Eighty-Seven Thousand One Hundred Twenty-Nine

Basics

Value: 87128 → 87129 → 87130

Parity: odd

Prime: No

Previous Prime: 87121

Next Prime: 87133

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 × 461

Divisors: 1, 3, 7, 9, 21, 27, 63, 189, 461, 1383

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101010001011001

Octal: 252131

Duodecimal: 42509

Hexadecimal: 15459

Square: 7591462641

Square Root: 295.1762185542731

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 m such that both m²-1 and m² are refactorable numbers (A033950) and that m² has more divisors than m²-1. A342970

Number of (n+2)X1 0..2 arrays with all rows having a nonnegative second derivative, and all columns having a positive second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative. A223388

a(1) = 8, a(n) = concatenation of two closest factors of a(n-1) whose product equals a(n-1) or if a(n-1) is a prime then the concatenation of 1 and a(n-1). A63403

A generalized Chebyshev transform of the Fibonacci numbers. A105866

Number of positive terms of the Okounkov-Olshanski formula for the number of standard tableaux of skew shape (n+3,n+2,...,1)/(n-1,n-2,...,1). A336674

T(n,k) is the number of (n+2) X k 0..2 arrays with all rows having a nonnegative second derivative, and all columns having a positive second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative. A223391

First differences of A087128. A87129