Properties of the Number 7504

Seven Thousand Five Hundred Four

Basics

Value: 7503 → 7504 → 7505

Parity: even

Prime: No

Previous Prime: 7499

Next Prime: 7507

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 7 × 67

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 56, 67

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110101010000

Octal: 16520

Duodecimal: 4414

Hexadecimal: 1d50

Square: 56310016

Square Root: 86.62563131083085

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

T(n,k)=Number of length n+1 0..k arrays with the sum of the minimum of each adjacent pair multiplied by some arrangement of +-1 equal to zero. A250419

a(n) = (9·n² - 3·n + 2)/2. A80855

T(n,k)=Number of nXk 0..1 arrays with row sums nondecreasing and column sums unimodal. A223625

T(n,k) is the number of (n+1) X (k+1) 0..2 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings). A234266

Expansion of ∏_k>=1 ((1 + k·x^k)/(1 - k·x^k)). A265758

Number of non-unimodal compositions of n into distinct terms. A72707

Table, read by antidiagonals, in which the n-th row comprises A214206(n) 0 followed by a second-order recursive series G in which each product G(i)*G(i+1) lies in the same row of A001477 (interpreted as a square array). A182431

Expansion of 1/(1+x+x²-2·x³). A77975

a(n) = n*(15·n-11)/2. A226489

Number of subgroups of the group C_n X C_n X C_n (where C_n is the cyclic group of order n). A64803