Properties of the Number 15273

Fifteen Thousand Two Hundred Seventy-Three

Basics

Value: 15272 → 15273 → 15274

Parity: odd

Prime: No

Previous Prime: 15271

Next Prime: 15277

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1697

Divisors: 1, 3, 9, 1697, 5091, 15273

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101110101001

Octal: 35651

Duodecimal: 8A09

Hexadecimal: 3ba9

Square: 233264529

Square Root: 123.58397954427588

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

T(n,k)=Number of nXk 0..2 arrays with new values 0..2 introduced in row major order and no element equal to any knight-move neighbor (colorings ignoring permutations of colors). A208434

Expansion of 1/((1-x)*(1+x+x²+2·x³)). A77909

a(n) = 12·n² - 8·n + 9. A167585

Number of partitions of n such that m(2) = m(3), where m = multiplicity. A240064

G.f. satisfies: A(x) = 1 - x + A(x)³ - A(x·A(x)⁵). A242009

a(n) = (4·n³ - 6·n² + 14·n + 3)/3. A321124

Number of ways to place eight distinct positive integers on a square, four on the corners and four on the sides such that the sum of the three values on each side is n. A380962

Number of nondecreasing sequences of 5 1..n integers with no element dividing the sequence sum. A212872

a(n) = ∑_{(n - k) does not divide n, 0 <= k < n} k². A367327

Integer part of log(n!)^{1 + log(log(1 + n})). A62475