Properties of the Number 72961

Seventy-Two Thousand Nine Hundred Sixty-One

Basics

Value: 72960 → 72961 → 72962

Parity: odd

Prime: No

Previous Prime: 72959

Next Prime: 72973

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 7 ² × 1489

Divisors: 1, 7, 49, 1489, 10423, 72961

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001110100000001

Octal: 216401

Duodecimal: 36281

Hexadecimal: 11d01

Square: 5323307521

Square Root: 270.11293934204633

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

Sum of the legs of the unique primitive Pythagorean triple whose inradius is A000217(n) and such that its long leg and its hypotenuse are consecutive natural numbers. A383834

a(n) = 128·n² + 2528·n + 12481. A157436

a(n) = 2048·n² - 128·n + 1. A157448

Numerators of continued fraction convergents to sqrt(570). A42092

Numbers k such that k | sigma₃(k) - φ(k)³. A55697

a(n)=5a(n-2)+2a(n-3). A112685

a(n) = 128·n² - 32·n + 1. A157331

E.g.f. satisfies A(x) = exp( x·A(x)²/(1 - x·A(x)³) ). A365014

Numbers using only the digits 2 and 5, that are both curved and straight. A72961

a(n) where a(n) * a(n-5) * a(n-10) = a(n-1) * a(n-6) * a(n-8) + a(n-2) * a(n-4) * a(n-9), with a(1) = ... = a(10) = 1. A205303