Properties of the Number 37947

Thirty-Seven Thousand Nine Hundred Forty-Seven

Basics

Value: 37946 → 37947 → 37948

Parity: odd

Prime: No

Previous Prime: 37907

Next Prime: 37951

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 13 × 139

Divisors: 1, 3, 7, 13, 21, 39, 91, 139, 273, 417

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010000111011

Octal: 112073

Duodecimal: 19B63

Hexadecimal: 943b

Square: 1439974809

Square Root: 194.79989733056843

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

p-INVERT of the positive integers, where p(S) = 1 - 3·S. A290902

a(n) is the number of terms in the expansion of (x+y-z)*(x²+y²-z²)*(x³+y³-z³)*...*(xⁿ+yⁿ-zⁿ). A86817

Numerators in continued fraction [0; 1, 3, 1, 3, 1, 3, ...]. A136210

Numbers that can be represented in more than one way as p²+p·q+q² with p and q primes, p<=q. A349987

a(n) = n*(4·n² + 2·n + 1). A110451

Augmentation of the triangle A193592. See Comments. A193593

a(n) = 3*(3·n+1)*(9·n+8)/2. A304504

Number of length-4 0..n arrays with no repeated value greater than or equal to the previous repeated value. A269410

T(n,k)=Number of nXk binary matrices with no 2X2 block having four 1's. A181253

Coefficients of unique normalized cusp form Delta₂₆ of weight 26 for full modular group. A37947