Properties of the Number 67054

Sixty-Seven Thousand Fifty-Four

Basics

Value: 67053 → 67054 → 67055

Parity: even

Prime: No

Previous Prime: 67049

Next Prime: 67057

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 13 × 2579

Divisors: 1, 2, 13, 26, 2579, 5158, 33527, 67054

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000010111101110

Octal: 202756

Duodecimal: 3297A

Hexadecimal: 105ee

Square: 4496238916

Square Root: 258.94787120190813

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

Triangle read by rows: T(n,k) is the number of permutations of [n] having k-1 alternating descents (1<=k<=n). The index i is an alternating descent of a permutation p if either i is odd and p(i)>p(i+1), or i is even and p(i)<p(i+1). A145876

Consider a number x > 1. Take the sum of its digits. Repeat the process deleting the first addendum and adding the previous sum. The sequence lists the numbers that after some iterations reach the Euler totient function of x. A269310

Expansion of b(3)*b(4)/(1 - 2·x + x² - x³ + x⁴), where b(k) = (1-x^k)/(1-x). A266353

Number of permutations of [n] having exactly three alternating descents. A302896

Number of permutations of [n] having exactly five alternating descents. A302898

Number of 5k+3 primes (A030431) in range ]2ⁿ,2ⁿ⁺¹]. A95023

Numbers k that divide A239868(k). A239869

a(n) = floor(s^s) where s = ∑_k=1..n 1/k. A67054