Properties of the Number 37801

Thirty-Seven Thousand Eight Hundred One

Basics

Value: 37800 → 37801 → 37802

Parity: odd

Prime: No

Previous Prime: 37799

Next Prime: 37811

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 103 × 367

Divisors: 1, 103, 367, 37801

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001110101001

Octal: 111651

Duodecimal: 19A61

Hexadecimal: 93a9

Square: 1428915601

Square Root: 194.42479265772664

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

Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 2 (most significant digit on right). A61955

a(n) = A104350(n) + 1. A104365

G.f.: ∑_k>=0 x^k * ∏_j=1..5·k (1 + x^j)/(1 - x^j). A385091

a(n) = 42·n² + 1. A158604

Number of (binary) max-heaps on 2n elements from the set {0,1} containing n 0's and n 1's. A309050

a(n) = (1/2ⁿ) * ∑_i=0..n (-1)^n-i * binomial(n,i) * A000364(i). A135594

Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two sums of the central column and central row nondecreasing horizontally and vertically. A258521

Sum of the n-th row of A077339. A81929

Number of i such that d(i)<d(i-1), where Sum{d(i)*3ⁱ: i=0,1,...,m} is base 3 representation of n. A37801

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two sums of the central column and central row nondecreasing horizontally and vertically. A258522