Properties of the Number 40100

Forty Thousand One Hundred

Basics

Value: 40099 → 40100 → 40101

Parity: even

Prime: No

Previous Prime: 40099

Next Prime: 40111

Digit Sum: 5

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5 ² × 401

Divisors: 1, 2, 4, 5, 10, 20, 25, 50, 100, 401

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110010100100

Octal: 116244

Duodecimal: 1B258

Hexadecimal: 9ca4

Square: 1608010000

Square Root: 200.24984394500785

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

Number of ways to partition n elements into pie slices of different sizes. A32153

Łukasiewicz word for each rooted plane tree (interpretation e in Stanley's exercise 19) encoded by A014486 (or A063171), with the last leaf implicit, i.e., these words are given without the last trailing zero, except for the null tree which is encoded as 0. A71153

Number of integer compositions of n in which runs of 1's all have length <= 1, runs of 2's all have length <= 2, runs of 3's all have length <= 3, etc. A389510

Numbers of the form prime(n)*(prime(n)-1)/4. A171555

Number of single nodes (exactly one node on that level) for all Motzkin paths of length n. A88457

Irregular table read by rows: T(n,k) is the number of k-gons, k>=3, formed inside a right triangle by the straight line segments mutually connecting all vertices and points on the two shorter edges whose positions on one edge equal the Farey series of order n while on the other they divide its length into n equal segments. A359977

Coordination sequence for {A₄}* lattice. A8531

a(n) = (1/12)*n²*(3*(1 + n²) - 2*(2 + n²)*(n mod 2)). A322844

Sequence A261220 shown in factorial base: a(n) = A007623(A261220(n)). A260743

Number of integers in n-th generation of tree T(-3/2) defined in Comments. A274154