Properties of the Number 27074

Twenty-Seven Thousand Seventy-Four

Basics

Value: 27073 → 27074 → 27075

Parity: even

Prime: No

Previous Prime: 27073

Next Prime: 27077

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 13537

Divisors: 1, 2, 13537, 27074

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100111000010

Octal: 64702

Duodecimal: 13802

Hexadecimal: 69c2

Square: 733001476

Square Root: 164.54178800535746

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 partitions of n such that the number of parts and the greatest part are coprime. A200750

Number T(n,k) of equivalence classes of ways of placing k 5 X 5 tiles in an n X n square under all symmetry operations of the square; irregular triangle T(n,k), n>=5, 0<=k<=floor(n/5)², read by rows. A236800

Numbers n for which number of iterations to reach the largest equals number of iterations to reach 1 from the largest in Collatz (3x+1) trajectory of n. A224303

a(n) is the number of terms in the expansion of (x-y)*(x⁴-y⁴)*(x⁹-y⁹)*...*(x^n²-y^n²). A225549

p-INVERT of (1,1,0,0,0,0,...), where p(S) = 1 - 2 S² - S⁴. A291403

a(n) = ∑_{i=1..floor((n+1)/4)} a(2·i-1) * a(n-2·i+1), with a(1)=a(2)=1 and a(3)=2. A24723

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (1, -1, 0), (1, 0, -1), (1, 1, 1)}. A149427

a(n) = ∑_k=0..n-1 T(n,k) * T(n,2n-k), with T given by A027052. A27074