713
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 768
- Proper Divisor Sum (Aliquot Sum)
- 55
- 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
- 660
- Möbius Function
- 1
- Radical
- 713
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 25
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- siebenhundertdreizehn· ordinal: siebenhundertdreizehnste
- English
- seven hundred thirteen· ordinal: seven hundred thirteenth
- Spanish
- setecientos trece· ordinal: 713º
- French
- sept cent treize· ordinal: sept cent treizième
- Italian
- settecentotredici· ordinal: 713º
- Latin
- septingenti tredecim· ordinal: 713.
- Portuguese
- setecentos e treze· ordinal: 713º
Appears in sequences
- Numbers that are not the sum of 4 tetrahedral numbers.at n=39A000797
- Odd squarefree numbers with an even number of prime factors that have no prime factors greater than 31.at n=44A002557
- Numbers that are the sum of 12 positive 5th powers.at n=32A003357
- Divisible only by primes congruent to 7 mod 8.at n=39A004628
- Number of fractions in Farey series of order n.at n=48A005728
- From variance of Fibonacci search.at n=9A006479
- Number of 3rd-order maximal independent sets in cycle graph.at n=30A007387
- Largest number not the sum of distinct n-th-order polygonal numbers.at n=5A007419
- Coordination sequence T1 for Zeolite Code AFY.at n=22A008029
- Coordination sequence T1 for Zeolite Code AWW.at n=19A008045
- Coordination sequence T4 for Zeolite Code EMT.at n=22A008089
- Composite but smallest prime factor >= 17.at n=14A008367
- Multiples of 23.at n=31A008605
- Molien series for 4-dimensional complex reflection group of order 7680 (in powers of x^4).at n=45A008669
- Coordination sequence T1 for Zeolite Code WEI.at n=19A009917
- arctanh(sinh(x)+arctan(x))=2*x+15/3!*x^3+713/5!*x^5+82481/7!*x^7...at n=2A013064
- arctan(arcsinh(x)+tan(x))=2*x-15/3!*x^3+713/5!*x^5-83153/7!*x^7...at n=2A013095
- a(n) = prevprime(n)*nextprime(n).at n=26A013638
- Numbers of form |2^i - 3^j|.at n=58A014121
- Partial sums of primes, if 1 is regarded as a prime (as it was until quite recently, see A008578).at n=21A014284