Properties of the Number 29312

Twenty-Nine Thousand Three Hundred Twelve

Basics

Value: 29311 → 29312 → 29313

Parity: even

Prime: No

Previous Prime: 29311

Next Prime: 29327

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁷ × 229

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 229, 458

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111001010000000

Octal: 71200

Duodecimal: 14B68

Hexadecimal: 7280

Square: 859193344

Square Root: 171.20747647226156

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

Numbers k whose abundance is 26: σ(k) - 2·k = 26. A275701

Primitive terms of A388271. A388272

a(n) is the numerator of (120·n² + 151·n + 47)/(512·n⁴ + 1024·n³ + 712·n² + 194·n + 15). A374580

Antidiagonal sums of the square array A096583, in which the n-th diagonal equals the convolution of the n-th row with the antidiagonal sums (this sequence). A96584

Number of n X 3 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 1,2,4,0,3 for x=0,1,2,3,4. A196596

Numbers k such that φ(σ(k)+k) = σ(k-φ(k)), where φ is A000010 and σ is A000203. A63710

Expansion of e.g.f. ∏_k>=1 ((1 - x^k)/(1 + x^k))^1/k. A296048

Practical numbers (A005153) that are abundant and have a record low value of abundancy index. A362052

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 1,2,4,0,3 for x=0,1,2,3,4. A196601

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 1,3,4,0,2 for x=0,1,2,3,4. A196646