Properties of the Number 12035

Twelve Thousand Thirty-Five

Basics

Value: 12034 → 12035 → 12036

Parity: odd

Prime: No

Previous Prime: 12011

Next Prime: 12037

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 5 × 29 × 83

Divisors: 1, 5, 29, 83, 145, 415, 2407, 12035

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111100000011

Octal: 27403

Duodecimal: 6B6B

Hexadecimal: 2f03

Square: 144841225

Square Root: 109.70414759707128

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

Triangle, read by rows, that transforms diagonals in the array A158825 of coefficients of successive iterations of x·C(x) where C(x) is the Catalan function (A000108). A158835

Numbers k such that σ(k+1) = 2*σ(k). A67081

Numbers k such that σ(k) divides σ(k+1), where σ(k) is sum of positive divisors of k. A58072

Number of lattice paths from (0,0) to (n,0) that do not go below the x-axis, and at (x,y) only allow steps (1,v) with v in {-1,0,1,...,y+1}. A333069

Numbers k such that product of factorials of digits of k equals π(k) (A000720). A66457

Numbers k such that (k, σ(k)) lies on a circle with integral radius centered at the origin, i.e., k² + σ(k)² is a square. A66764

E.g.f.: exp(1 / (1 - arctan(x)) - 1). A331617

σ(n) plus the n-th prime gives a square. A114082

a(n+1) = a(n) converted to base 10 from base 15. A55986

Numbers k such that the largest prime factor of k is equal to the sum of primes dividing k+1 (with repetition). A71861