Properties of the Number 27403

Twenty-Seven Thousand Four Hundred Three

Basics

Value: 27402 → 27403 → 27404

Parity: odd

Prime: No

Previous Prime: 27397

Next Prime: 27407

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 67 × 409

Divisors: 1, 67, 409, 27403

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101100001011

Octal: 65413

Duodecimal: 13A37

Hexadecimal: 6b0b

Square: 750924409

Square Root: 165.53851515583918

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

Expansion of 1/(1 - x + 4·x²). A106853

Numbers k such that lcm(1,2,3,...,k)/13 equals the denominator of the k-th harmonic number H(k). A112818

Numbers k such that the coefficient of x^k in the expansion of ∏_j>=1 (1 - x^j)⁵ is zero. A302057

Number of partitions in parts not of the form 15k, 15k+3 or 15k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 6 are greater than 1. A35957

Numbers k such that both k and k + 3 are consecutive deficient numbers. A317049

Odd composite integers m such that U(m)² == 1 (mod m) and V(m) == 4 (mod m), where U(m) and V(m) are the m-th generalized Lucas and Pell-Lucas numbers of parameters a=4 and b=-1, respectively. A337627

Odd composite integers m such that A000032(3·m-J(m,5)) == 3·J(m,5) (mod m), where J(m,5) is the Jacobi symbol. A339724

Odd composite integers m such that A000045(3·m-J(m,5)) == 1 (mod m), where J(m,5) is the Jacobi symbol. A340235

Composite terms in A128288(n) = A023163(n)/3 for n>1. A128289

Number of n X 4 1..2 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in nondecreasing order. A166805