Properties of the Number 46830

Forty-Six Thousand Eight Hundred Thirty

Basics

Value: 46829 → 46830 → 46831

Parity: even

Prime: No

Previous Prime: 46829

Next Prime: 46831

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 × 7 × 223

Divisors: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011011011101110

Octal: 133356

Duodecimal: 23126

Hexadecimal: b6ee

Square: 2193048900

Square Root: 216.40240294414477

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 read by rows: T(n,k) is the number of labeled 2-connected planar graphs with n nodes and k edges, n >= 3, n <= k <= 3(n-2). A100960

Numbers k having exactly 5 distinct prime factors, the largest of which is greater than or equal to sqrt(k) (i.e., sqrt(k)-rough numbers with exactly 5 distinct prime factors). A115959

Triangular array T(n,k) giving number of 2-connected graphs with n labeled nodes and k edges (n >= 3, n <= k <= n(n-1)/2). A123534

Products of 5 distinct primes that are sandwiched between twin prime numbers. A376380

a(n) = ∑_k=1..n σ(k)*σ(2·k), where σ(n) = A000203(n) is the sum of the divisors of n. A347108

G.f.: ∏_n>=1 (1 - 2·xⁿ)³. A322216

Table of row functions R(n,x) that satisfy: [x^k] exp( k·R(n,x) ) = kⁿ * [x^k-1] exp( k·R(n,x) ) for k>=1, n>=1, read by antidiagonals. A300620

Averages k of twin prime pairs such that A075255(k) is also the average of a twin prime pair. A340570

Members of A014574 with sum of prime factors (with multiplicity) also in A014574. A349455

Digits of n² include digits of n as subsequence, n does not end in 0. A46830