727
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 728
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 726
- Möbius Function
- -1
- Radical
- 727
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 46
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 129
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- siebenhundertsiebenundzwanzig· ordinal: siebenhundertsiebenundzwanzigste
- English
- seven hundred twenty-seven· ordinal: seven hundred twenty-seventh
- Spanish
- setecientos veintisiete· ordinal: 727º
- French
- sept cent vingt-sept· ordinal: sept cent vingt-septième
- Italian
- settecentoventisette· ordinal: 727º
- Latin
- septingenti viginti septem· ordinal: 727.
- Portuguese
- setecentos e vinte e sete· ordinal: 727º
Appears in sequences
- Primes that divide at least one term in every Fibonacci sequence.at n=28A000057
- Number of rooted trees with n nodes and a single labeled node; pointed rooted trees; vertebrates.at n=8A000107
- Primes p of the form 3k+1 such that Sum_{x=1..p} cos(2*Pi*x^3/p) > sqrt(p).at n=31A000921
- Irregular primes: primes p such that at least one of the numerators of the Bernoulli numbers B_2, B_4, ..., B_{p-3} (A000367) is divisible by p.at n=47A000928
- Primes with 5 as smallest primitive root.at n=19A001124
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=5A001136
- Full reptend primes: primes with primitive root 10.at n=46A001913
- Palindromic primes: prime numbers whose decimal expansion is a palindrome.at n=14A002385
- Number of trees in an n-node wheel.at n=14A002985
- Add 4, then reverse digits; start with 0.at n=22A003608
- Divisible only by primes congruent to 6 mod 7.at n=22A004624
- Divisible only by primes congruent to 7 mod 8.at n=42A004628
- Class 3+ primes (for definition see A005105).at n=42A005107
- Class 3- primes (for definition see A005109).at n=35A005111
- Primes p such that 2p-1 is also prime.at n=28A005382
- Molien series for a certain group of order 52.at n=59A005916
- Prime self (or Colombian) numbers: primes not expressible as the sum of an integer and its digit sum.at n=17A006378
- Primes p such that 2^p - 1 has at most 2 prime factors.at n=45A006514
- Long period primes: the decimal expansion of 1/p has period p-1.at n=47A006883
- Number of 5th-order maximal independent sets in path graph.at n=37A007380