Properties of the Number 42000

Forty-Two Thousand

Basics

Value: 41999 → 42000 → 42001

Parity: even

Prime: No

Previous Prime: 41999

Next Prime: 42013

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 ³ × 7

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1010010000010000

Octal: 122020

Duodecimal: 20380

Hexadecimal: a410

Square: 1764000000

Square Root: 204.93901531919198

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·A276086(n). A324580

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=11. A135196

a(n) = n! * ∑_{k=1..floor(n/2)} 1/(2k). A92691

a(n) = ∏_{d∣n, d<n} prime(A304101(d)-1). A304102

a(n) = A025487(n) * A324576(n) = A025487(n) * A276086(A025487(n)). A324577

Numbers > 1 whose greatest prime index (A061395), number of distinct prime factors (A001221), and greatest prime multiplicity (A051903) are all equal. A381543

θ series of A₆ lattice. A8446

a(n) = A002182(n) * A324581(n) = A002182(n) * A276086(A002182(n)). A324582

Table read by rows, in which the n-th row lists all the primitive solutions k, in increasing order, such that k*σ(k) = A337875(n). A337876

Expansion of e.g.f. -log(1-x)/(1-x²). A92692