Properties of the Number 9977

Nine Thousand Nine Hundred Seventy-Seven

Basics

Value: 9976 → 9977 → 9978

Parity: odd

Prime: No

Previous Prime: 9973

Next Prime: 10007

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 11 × 907

Divisors: 1, 11, 907, 9977

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011111001

Octal: 23371

Duodecimal: 5935

Hexadecimal: 26f9

Square: 99540529

Square Root: 99.88493379884676

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

Semiprimes in A056105. A113519

Largest n-digit squarefree number whose internal as well as external digits form a squarefree number, or 0 if no such number exists. A77380

a(n) = 104·n + 9977. A126978

Number of partitions p of n such that (number of numbers of the form 5k + 3 in p) is a part of p. A241552

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n·b(n-1), where a(0) = 2, a(1) = 4, b(0) = 1, b(1) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A296292

Record high points in A336957. A337646

Irregular triangle read by rows: T(n,k) is the number of free polyominoes with n cells having k regions between the polyominoes and their bounding boxes, n >= 1, k >= 0. A380282

Expansion of exp(2x)+exp(x)BesselI₀(2x). A81669

Berend Jan van der Zwaag's conjectured complete list of numbers that start different "expanding periodic loops" under the mapping described in A053392 and A060630. A103117

a(n) = F(n) + L(n) + n, where F(n) (A000045) and L(n) (A000204) are Fibonacci and Lucas numbers respectively. A13915