Properties of the Number 29442

Twenty-Nine Thousand Four Hundred Forty-Two

Basics

Value: 29441 → 29442 → 29443

Parity: even

Prime: No

Previous Prime: 29437

Next Prime: 29443

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 7 × 701

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 701, 1402

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001100000010

Octal: 71402

Duodecimal: 15056

Hexadecimal: 7302

Square: 866831364

Square Root: 171.586712772289

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

Subdiagonal partitions: number of partitions (p1, p2, p3, ...) of n with π <= i. A238875

Numbers that are the sum of seven fourth powers in seven or more ways. A345573

Numbers that are the sum of seven fourth powers in exactly seven ways. A345829

Positive integers m with binary expansion (b₁, ..., b_k) (where k = A070939(m)) such that b_i = [m == 0 (mod i)] for i = 1..k (where [] is an Iverson bracket). A320673

Triangle T(n,k) giving number of 4 X k polyominoes with n cells (n >= 4, 1<=k<=n-3). A59684

Numbers k such that the k-th triangular number contains only digits {0,3,4}. A119060

Glaisher's function H'(4n+1) (18 squares version). A2610

Number of palindromes < 10ⁿ whose squares are also palindromes. A343098

a(1) = 2. For n > 1, a(n) = smallest prime factor of c=2·a(n-1)-1 that is not in {a(1), ..., a(n-1)}; if all prime factors of c are in {a(1), ..., a(n-1)}, then we try the next value of c, which is 2·c-1; and so on. A379775

Expansion of e.g.f. A(x) satisfying A(x) = 1 + x·exp(x) * A(x²*exp(x)). A369551