Properties of the Number 71445

Seventy-One Thousand Four Hundred Forty-Five

Basics

Value: 71444 → 71445 → 71446

Parity: odd

Prime: No

Previous Prime: 71443

Next Prime: 71453

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 11 × 433

Divisors: 1, 3, 5, 11, 15, 33, 55, 165, 433, 1299

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001011100010101

Octal: 213425

Duodecimal: 35419

Hexadecimal: 11715

Square: 5104388025

Square Root: 267.29197518818256

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

Square array A(n,k) by antidiagonals. A(n,k) is the number of length 2n k-ary words (n,k>=0) that can be built by repeatedly inserting doublets into the initially empty word. A183135

T(n,k)=Number of nXk 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281802

Generalized central binomial coefficients for k=2. A121724

G.f.: 8/(3 + 5·sqrt(1-16·x)). A130976

Self-convolution of (1³, 2³, 3³, 4³, ... ). A145216

Consecutive states of the linear congruential pseudo-random number generator (741·s + 66037) mod 312500 when started at s=1. A385358

Rectangular array: (row n) = b**c, where b(h) = h³, c(h) = (n-1+h)³, n>=1, h>=1, and ** = convolution. A213558

Number of length 2n n-ary words that can be built by repeatedly inserting doublets into the initially empty word. A294491

Expansion of g.f. A(x) satisfying ∑_n>=0 xⁿ * ∏_k=0..n (x^2·k+1 + A(x)) = theta₄(x). A369684

Larger members of primitive φ-amicable pairs. A121249