Properties of the Number 27415

Twenty-Seven Thousand Four Hundred Fifteen

Basics

Value: 27414 → 27415 → 27416

Parity: odd

Prime: No

Previous Prime: 27409

Next Prime: 27427

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 5483

Divisors: 1, 5, 5483, 27415

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110101100010111

Octal: 65427

Duodecimal: 13A47

Hexadecimal: 6b17

Square: 751582225

Square Root: 165.57475653009428

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 ∏_k>=1 (1 - x^8·k)/(1 - x^k). A261775

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4. A240000

Positive integers m such that π(k³) + π(m³) is a cube for some k = 1,...,m, where π(x) denotes the number of primes not exceeding x. A262698

Least non-balanced x (i.e., not in A020492) such that σ(p(n),x)/φ(x) is an integer, where p(n) = n-th prime. A78540

Number of nX5 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4. A239998

Number of 4Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4. A240003

Expansion of ∑_i>=1 μ(i)²*xⁱ/(1 - xⁱ) * ∏_j>=i 1/(1 - μ(j)²*x^j), where μ() is the Moebius function (A008683). A284829

Number of rooted unlabeled trees on n nodes having a primary branch. A27415

Number of (n+1) X (4+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). A234654