Properties of the Number 37415

Thirty-Seven Thousand Four Hundred Fifteen

Basics

Value: 37414 → 37415 → 37416

Parity: odd

Prime: No

Previous Prime: 37409

Next Prime: 37423

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 7 × 1069

Divisors: 1, 5, 7, 35, 1069, 5345, 7483, 37415

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001001000100111

Octal: 111047

Duodecimal: 1979B

Hexadecimal: 9227

Square: 1399882225

Square Root: 193.4295737471393

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 integer partitions of n having a unique mode. A362608

Number of polyominoes with n cells that tile the plane by translation. A75198

Numbers n such that σ(n-1) + σ(n+1) = σ(2n). A67730

Triangle read by rows. Row n gives the numerators of the coefficients of the Bernoulli polynomials of the second kind (in rising powers). A290317

k such that either 2^k + k - 3 or 2^k + k - 2 is prime. A237816

Total number of divisors d of m (counted with multiplicity), such that the prime signature of d is a partition of five and m runs through the set of least numbers whose prime signature is a partition of n. A309920

Total number of divisors d of m (counted with multiplicity), such that the prime signature of d is a partition of ten and m runs through the set of least numbers whose prime signature is a partition of n. A309925

a(n) = number of n-lettered words in the alphabet {1, 2, 3} with as many occurrences of the substring (consecutive subword) [1, 1, 1] as of [2, 2, 2]. A211287

Determinant of the n X n matrix whose element (i,j) equals the floor( φ^i-j + 1). A71784

a(n) = (tan(1*π/11))^2·n + (tan(2*π/11))^2·n + (tan(3*π/11))^2·n + (tan(4*π/11))^2·n + (tan(5*π/11))^2·n. A275546