Properties of the Number 7953

Seven Thousand Nine Hundred Fifty-Three

Basics

Value: 7952 → 7953 → 7954

Parity: odd

Prime: No

Previous Prime: 7951

Next Prime: 7963

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 241

Divisors: 1, 3, 11, 33, 241, 723, 2651, 7953

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111100010001

Octal: 17421

Duodecimal: 4729

Hexadecimal: 1f11

Square: 63250209

Square Root: 89.17959407846618

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

a(n) = 4·a(n-1) - a(n-2), with a(0) = 1, a(1) = 1. A1835

a(n) = 4·a(n-2) - a(n-4) for n > 1, a(n) = n for n = 0, 1. A2530

a(n) = (1 + a(n-1)*a(n-2))/a(n-3), a(0) = a(1) = a(2) = 1. A5246

Array T(k,n) read by antidiagonals. G.f.: x(1-x)/(1-kx+x²), k>1. A94954

a(n) = 4·a(n-1) - a(n-2) with a(1) = 1, a(2) = 3. A79935

Sizes of successive clusters in Z⁴ lattice. A46895

17-gonal (or heptadecagonal) numbers: a(n) = n*(15·n-13)/2. A51869

Square array T(M,N) read by antidiagonals: number of dimer tilings of a 2·M X 2·N Moebius strip. A103997

Rectangular array: A(n,k) = ∑_j=0..k (-1)^floor(j/2)*binomial(k-floor((j+1)/2), floor(j/2))*(-n)^k-j, n >= 1, k >= 0, read by antidiagonals. A299045

a(2n+1) = a(2n) + a(2n-1), a(2n) = 2·a(2n-1) + a(2n-2); a(n) = n for n = 0, 1. A48788