Properties of the Number 38001

Thirty-Eight Thousand One

Basics

Value: 38000 → 38001 → 38002

Parity: odd

Prime: No

Previous Prime: 37997

Next Prime: 38011

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 53 × 239

Divisors: 1, 3, 53, 159, 239, 717, 12667, 38001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010001110001

Octal: 112161

Duodecimal: 19BA9

Hexadecimal: 9471

Square: 1444076001

Square Root: 194.93845182518507

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

McKay-Thompson series of class 15C for the Monster group with a(0) = 3. A153084

Constant term of the reduction by x²->x+1 of the polynomial p(n,x) defined below in Comments. A192754

a(n) = floor(n*(n-1)*(n-2)*(n-3)/15). A11925

McKay-Thompson series of class 15C for Monster. A58510

Integers arising in A133677. A133645

Least number k not divisible by 10 such that the decimal expansion of kⁿ contains some digit exactly n times. A243151

Least number·such that xⁿ has n digits equal to k. Case k = 1. A285448

One-half of averages of twin prime pairs of A001318. A154565

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 107", based on the 5-celled von Neumann neighborhood. A270166

Array read by falling antidiagonals: T(n,k) = numerator(∑_x>0 (xⁿ)/(k^x)); n >= 0 and k >= 2. A374895