Properties of the Number 11697

Eleven Thousand Six Hundred Ninety-Seven

Basics

Value: 11696 → 11697 → 11698

Parity: odd

Prime: No

Previous Prime: 11689

Next Prime: 11699

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 557

Divisors: 1, 3, 7, 21, 557, 1671, 3899, 11697

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110110110001

Octal: 26661

Duodecimal: 6929

Hexadecimal: 2db1

Square: 136819809

Square Root: 108.15266986995744

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) = (m*(n-k) + 1)*T(n-1, k-1) + (m*(k-1) + 1)*T(n-1, k) + j·T(n-2, k-1), where T(n, 1) = T(n, n) = 1, m = 1, and j = 4, read by rows. A144436

Augmented amicable pairs (larger member of each pair). A15630

Sum of the squarefree parts of the partitions of n into 5 parts. A309480

G.f. A(x) satisfies: R(x²*A(x)) = x³ - x⁴, where R(A(x)) = x. A350433

Fundamental discriminants d uniquely characterizing all complex biquadratic fields Q(sqrt(-3),sqrt(d)) which have 3-class group of type (3,3) and second 3-class group isomorphic to SmallGroup(729,34). A250241

Number of kites on an n X n grid (or geoboard). A189417

a(n) = 10·n² + 4·n + 1. A272039

The greater of the lexicographically least pair (x, y) such that 0 < x < y and σ(x) = σ(y) = x + y - n. A285892

a(n) = (1/5)*(4 + ∑_k=0..n C(5·k,k)). A24721

Number of second differences of arrays of length 4 of numbers in 0..n. A228219