Properties of the Number 38376

Thirty-Eight Thousand Three Hundred Seventy-Six

Basics

Value: 38375 → 38376 → 38377

Parity: even

Prime: No

Previous Prime: 38371

Next Prime: 38377

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 13 × 41

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 13, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010111101000

Octal: 112750

Duodecimal: 1A260

Hexadecimal: 95e8

Square: 1472717376

Square Root: 195.8979326077741

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

a(n) = ∑_k=1..n binomial(n,k)*σ(k). A185003

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 3 and no antidiagonal sum 3 and no row sum 0 and no column sum 0. A256748

Irregular triangular array, read by rows: row n shows the coefficients of the polynomial p(n,x) defined in Comments. A329433

Expansion of log(1+sinh(x))/exp(x). A9356

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 609", based on the 5-celled von Neumann neighborhood. A283286

a(n) = number of (s(0), s(1), ..., s(n)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| <= 1 for i = 1,2,...,n, s(0) = 0, s(2n) = n. Also a(n) = T(2n,n), where T is the array in A026300. A26302

Number of (w,x,y,z) with all terms in {1,...,n} and w²>=x·y*z. A212064

G.f.: ∑_n>=0 xⁿ/(1-x)^6·n * ∑_k=0..n C(n,k)² * x^k. A249794

Number of ways to select 4 numbers from the set of the first n natural numbers avoiding 3-term arithmetic progressions. A300760

15-gonal (or pentadecagonal) pyramidal numbers: a(n) = n*(n+1)*(13·n-10)/6. A177890