Properties of the Number 74574

Seventy-Four Thousand Five Hundred Seventy-Four

Basics

Value: 74573 → 74574 → 74575

Parity: even

Prime: No

Previous Prime: 74573

Next Prime: 74587

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 1381

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 1381, 2762

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010001101001110

Octal: 221516

Duodecimal: 371A6

Hexadecimal: 1234e

Square: 5561281476

Square Root: 273.0824051454066

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

Values of the difference d for 6 primes in geometric-arithmetic progression with the minimal sequence {7·7^j + j·d}, j = 0 to 5. A209205

Triangle, read by rows, where g.f. of row n equals the product of (1-x)ⁿ and the g.f. of the coordination sequence for root lattice B_n, for n >= 0. A109001

Coordination sequence for root lattice B₉. A22151

G.f. A(x) satisfies: ∑_n>=0 log(A(3ⁿ*x))ⁿ/n! = 1 + ∑_n>=0 3^3ⁿ-n*x^3ⁿ. A167003

Least possible nonnegative coefficients of xⁿ in G(x)^3ⁿ, n>=0, such that G(x) is an integer series with G'(0)=G(0)=1; the G(x) that satisfies this condition equals the g.f. of A167003. A167004

G.f.: A(x) = ∑_n>=0 3ⁿ*log(G(3ⁿ*x))ⁿ/n! where G(x) = g.f. of A167003. A167005

a(n) = 5ⁿ + 7ⁿ + 8ⁿ. A74574