Properties of the Number 2575

Two Thousand Five Hundred Seventy-Five

Basics

Value: 2574 → 2575 → 2576

Parity: odd

Prime: No

Previous Prime: 2557

Next Prime: 2579

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 ² × 103

Divisors: 1, 5, 25, 103, 515, 2575

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000001111

Octal: 5017

Duodecimal: 15A7

Hexadecimal: a0f

Square: 6630625

Square Root: 50.7444578254611

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

Second 10-gonal (or decagonal) numbers: n*(4·n+3). A33954

The main column of a version of the square spiral. A156859

Numbers that are the sum of 8 positive 7th powers. A3375

Triangle Q, read by rows, such that Q² transforms column k of Q² into column k+1 of Q², so that column k of Q² equals column 0 of Q^2·k+2, where Q² denotes the matrix square of Q. A113350

a(n) = floor(n*φ¹²), where φ is the golden ratio, A001622. A4927

Numbers k giving rise to prime quadruples (30k+11, 30k+13, 30k+17, 30k+19). A14561

Number A(n,k) of words w where each letter of the k-ary alphabet occurs n times and for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z; square array A(n,k), n>=0, k>=0, read by antidiagonals. A213275

a(n) = n²*(n²+3)/4. A39623

Antidiagonal sums of triangular array T defined in A014430: T(j,k) = binomial(j+1, k) - 1 for 1 <= k <= j. A129696

Number of integer partitions of n where the parts have the same mean as the distinct parts. A360243