Properties of the Number 38276

Thirty-Eight Thousand Two Hundred Seventy-Six

Basics

Value: 38275 → 38276 → 38277

Parity: even

Prime: No

Previous Prime: 38273

Next Prime: 38281

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 7 × 1367

Divisors: 1, 2, 4, 7, 14, 28, 1367, 2734, 5468, 9569

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010110000100

Octal: 112604

Duodecimal: 1A198

Hexadecimal: 9584

Square: 1465052176

Square Root: 195.64253116334393

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

Limit of number of compositions (ordered partitions) of m into distinct parts where largest part is exactly m-n, for m sufficiently large given n. A72576

a(n) = ∑_k=0..n q(k)², where q(k) = partition numbers into distinct parts (A000009). A265093

a(n) = n*(15·n² - 15·n + 4). A272134

Number of (n+3) X 8 0..2 matrices with each 4 X 4 subblock idempotent. A224725

Number of walks within N² (the first quadrant of Z²) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (-1, 1), (0, -1), (0, 1), (1, -1)}. A151434

T(n,k)=Number of (n+3)X(k+3) 0..2 matrices with each 4X4 subblock idempotent. A224728

Triangle whose (i,j)-th entry is binomial(i,j)*7^i-j*10^j. A38276