Properties of the Number 73408

Seventy-Three Thousand Four Hundred Eight

Basics

Value: 73407 → 73408 → 73409

Parity: even

Prime: No

Previous Prime: 73387

Next Prime: 73417

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁶ × 31 × 37

Divisors: 1, 2, 4, 8, 16, 31, 32, 37, 62, 64

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001111011000000

Octal: 217300

Duodecimal: 36594

Hexadecimal: 11ec0

Square: 5388734464

Square Root: 270.9391075500176

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

Number of series-reduced rooted trees whose leaves are multisets with a total of n elements covering an initial interval of positive integers. A330469

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A381568. A381567

a(n) = A213709(n) - A255071(n). A254119

Number of sets of nonempty words with a total of n letters over septenary alphabet containing the seventh letter such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter. A293888

Number of 5-step one or two space at a time rook's tours on an n X n board summed over all starting positions. A187290

T(n,k) = number of n-step one or two space at a time rook's tours on a k X k board summed over all starting positions. A187286

Let cophi_m(x) denotes the cototient function applied m times to x (cophi(x)=x-φ(x)). Sequence gives the minimum number of iterations m such that cophi_m(n) divides n. A73408

G.f. satisfies: A(x) = 1 + ∑_n>=1 x^n-1*series_reversion( x/A(x)ⁿ ). A125224

1/4 the number of (n+1)X3 0..3 arrays with every 2X2 subblock having distinct clockwise edge differences. A209710

Number of (3+1)X(n+1) arrays of permutations of 0..n·4+3 filled by rows with each element moved a city block distance of 0 or 1, and rows and columns in increasing lexicographic order. A263521