Properties of the Number 38007

Thirty-Eight Thousand Seven

Basics

Value: 38006 → 38007 → 38008

Parity: odd

Prime: No

Previous Prime: 37997

Next Prime: 38011

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 41 × 103

Divisors: 1, 3, 9, 41, 103, 123, 309, 369, 927, 4223

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010001110111

Octal: 112167

Duodecimal: 19BB3

Hexadecimal: 9477

Square: 1444532049

Square Root: 194.95384069055936

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

Largest number whose base-n expansion cannot be subdivided to form a sequence of numbers which ordered form a multiple of n+1 when using +, *, and (). A330671

a(n) is the least integer k such that there are n values of i <= k for which gpf(i² + 1) = gpf(k² + 1), where gpf(x) is the greatest prime factor of x. A258840

a(n) = (4·n³ - 6·n² + 20·n + 3)/3. A322597

Even numbers k such that b(k) is greater than b(k-1) and b(k+1); b(k) = A033178(k). A38007

Let c (resp. C) be the smallest (resp. largest) number that can be obtained by cyclically permuting the digits of n; a(n) = C - c. A347688

Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A316872