Properties of the Number 7972

Seven Thousand Nine Hundred Seventy-Two

Basics

Value: 7971 → 7972 → 7973

Parity: even

Prime: No

Previous Prime: 7963

Next Prime: 7993

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 1993

Divisors: 1, 2, 4, 1993, 3986, 7972

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111100100100

Octal: 17444

Duodecimal: 4744

Hexadecimal: 1f24

Square: 63552784

Square Root: 89.28605714219886

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 T(n,k) read by rows giving number of underdiagonal lattice paths from (0,0) to (n,k) using only steps R = (1,0), V = (0,1) and D = (3,1). A71946

Expansion of A(x) satisfying A(x) = x + A(x)²*(1 + A(x))⁴. A361306

Numbers k such that there is more than one possible solution for A367338(k). A367346

Let (u1,u2) be successive untouchable numbers such that φ(u1) = φ(u2); sequence gives values of u1. A48189

Condensed deep factorization of n, A300562(n) written in decimal: floor of odd part of A300561(n) divided by 2. A300563

G.f. A(x) satisfies A(x) = 1 + x*(1+x³)*A(x)³. A386496

Number of partitions of n into at most 11 parts. A8640

Molien series for A₁₁. A8634

Triangle in A071946 with rows reversed. A108076

Strip A117488 of r-1 row values 1,2,5,10,20,36,65 ... A000712. A117566