Properties of the Number 10029

Ten Thousand Twenty-Nine

Basics

Value: 10028 → 10029 → 10030

Parity: odd

Prime: No

Previous Prime: 10009

Next Prime: 10037

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 3343

Divisors: 1, 3, 3343, 10029

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011100101101

Octal: 23455

Duodecimal: 5979

Hexadecimal: 272d

Square: 100580841

Square Root: 100.14489502715553

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 into relatively prime parts such that multiplicities of parts are also relatively prime. A100953

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays x(i,j) with row sums sum{j·x(i,j), j=1..k+1} nondecreasing, and column sums sum{i²*x(i,j), i=1..n+1} nondecreasing. A233049

a(n) gives the length of A306211 after n generations. A306215

a(0) = 1; a(n) = ∑_k=0..n-1 binomial(k+5,5) * binomial(n-1,k) * a(k) * a(n-1-k). A385947

Relative of Hofstadter Q-sequence: a(n) = max(0, n+10000) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) + a(n-a(n-4)) for n > 0. A283889

Relative of Hofstadter Q-sequence. A283891

Relative of Hofstadter Q-sequence. A283892

a(n) is the number of unlabeled rank-3 graded lattices with 4 coatoms and n atoms. A322599

Numbers n such that (6ⁿ-1)²-2 is prime. A100901

First gap of length at least n in A137292, lower end. A138845