Properties of the Number 7900

Seven Thousand Nine Hundred

Basics

Value: 7899 → 7900 → 7901

Parity: even

Prime: No

Previous Prime: 7883

Next Prime: 7901

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 5 ² × 79

Divisors: 1, 2, 4, 5, 10, 20, 25, 50, 79, 100

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111011011100

Octal: 17334

Duodecimal: 46A4

Hexadecimal: 1edc

Square: 62410000

Square Root: 88.88194417315589

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

Triangle read by rows: T(n,k) = number of permutations of length n with exactly k rising or falling successions, for n >= 1, 0 <= k <= n-1. A1100

Numbers k such that numerator(Bernoulli(2·k)/(2·k)) is different from numerator(Bernoulli(2·k)/(2·k*(2·k-1))). A90495

T(n,k) = number of n X k 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302820

Numbers k such that k![7]-1 is prime (where k![7] = A114799(k) = septuple factorial). A156167

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of e.g.f. 1/(1 + k - ∑_j=1..k exp(j·x)). A320253

Numbers k such that absolute value of 9^k - k⁹ is prime. A128449

T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with the maximum plus the upper median plus the lower median of every 2 X 2 subblock equal. A236884

G.f.: ∏_{i>=1, j>=1, k>=1, l>=1} 1/(1 - x^i·j*k·l). A280487

Triangle of generalized Stirling numbers of the first kind read by rows: T(n, k) = (-1)^n+k*∑_m=0..n Stirling1(n, m) * binomial(m, k) * 2^m-k, where Stirling1 is A048994. A94646

Expansion of e.g.f. 1/(5 - exp(x) - exp(2·x) - exp(3·x) - exp(4·x)). A4702