Properties of the Number 73727

Seventy-Three Thousand Seven Hundred Twenty-Seven

Basics

Value: 73726 → 73727 → 73728

Parity: odd

Prime: Yes

Previous Prime: 73721

Next Prime: 73751

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 73727

Divisors: 1, 73727

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001111111111111

Octal: 217777

Duodecimal: 367BB

Hexadecimal: 11fff

Square: 5435670529

Square Root: 271.5271625454809

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

Class 1+ primes: primes of the form 2ⁱ*3^j - 1 with i, j >= 0. A5105

Smallest prime with Hamming weight n (i.e., with exactly n 1's when written in binary). A61712

Smallest prime of the form k·2ⁿ - 1, for k >= 2. A127581

Primes of the form m = 2ⁱ + 2^j - 1, where i > j >= 0. A239712

Expansion of (1+x²-x³)/((1-x)*(1-2·x)). A52996

Primes neighboring a 3-smooth number. A219528

Integers of the form 8k+7 that can be written as a sum of four distinct squares of the form m, m+2, m+4, m+5, where m == 1 (mod 4). A243579

Primes p such that σ(2p+1) = 3*(p+1). A246914

Record values in A135141. A246347

Start with n, apply k->2k+1 until reach new record prime; sequence gives record primes. A51919