Properties of the Number 23863

Twenty-Three Thousand Eight Hundred Sixty-Three

Basics

Value: 23862 → 23863 → 23864

Parity: odd

Prime: No

Previous Prime: 23857

Next Prime: 23869

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 ² × 487

Divisors: 1, 7, 49, 487, 3409, 23863

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 101110100110111

Octal: 56467

Duodecimal: 11987

Hexadecimal: 5d37

Square: 569442769

Square Root: 154.47653543499737

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) = n*(2·n² -3·n +7)/6 = C(n, 1) + C(n, 2) + 2·C(n, 3). A81489

The first of three consecutive heptagonal numbers the sum of which is equal to the sum of three consecutive primes. A298301

Row sums of triangle A049325. A49349

Heptagonal numbers divisible by 7. A117795

Numbers that can be written as a² + 3·b² for some a, b in A155716 and also as c² + 6·d² for some c, d in A092572. A380295

Maximal troughs in decimal expansions of π: positions of troughs equal to 8. A105276

Expansion of g.f. A(x) satisfying [x^n-1] A(x)^n² = A000108(n-1) * nⁿ for n >= 1, where A000108 is the Catalan numbers. A371673

a(n) = 1·t(n) + 2·t(n-1) + ... + k·t(n+1-k), where k=floor((n+1)/2) and t = A002808 (composite numbers). A23863