Properties of the Number 46101

Forty-Six Thousand One Hundred One

Basics

Value: 46100 → 46101 → 46102

Parity: odd

Prime: No

Previous Prime: 46099

Next Prime: 46103

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 ² × 127

Divisors: 1, 3, 11, 33, 121, 127, 363, 381, 1397, 4191

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011010000010101

Octal: 132025

Duodecimal: 22819

Hexadecimal: b415

Square: 2125302201

Square Root: 214.71143425537448

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 integer partitions of n whose negated run-lengths are unimodal. A332638

Sum of terms of n-th group in A075383. A75386

Sum of divisors of those odd squares k for which A379113(k) > 1, i.e., k that have a proper unitary divisor d > 1 such that A048720(A065621(σ(d)),σ(k/d)) is equal to σ(k). A379125

G.f.: exp( ∑_n>=1 A002129(n²)*xⁿ/n ), where A002129(n) is the excess of sum of odd divisors of n over sum of even divisors of n. A225925

Biquadrateful numbers. A46101

Square array A(n, k) = σ((2n-1)²) * σ((2k-1)²), read by antidiagonals. A379220

a(n) = |{1 < k < sqrt(n)*log(n): prime(n) + C(prime(k)-1, (prime(k)-1)/2) is prime}|, where C(2j,j) = (2j)!/(j!)². A239451