715
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1008
- Proper Divisor Sum (Aliquot Sum)
- 293
- 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
- 480
- Möbius Function
- -1
- Radical
- 715
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- yes
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 25
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- siebenhundertfünfzehn· ordinal: siebenhundertfünfzehnste
- English
- seven hundred fifteen· ordinal: seven hundred fifteenth
- Spanish
- setecientos quince· ordinal: 715º
- French
- sept cent quinze· ordinal: sept cent quinzième
- Italian
- settecentoquindici· ordinal: 715º
- Latin
- septingenti quindecim· ordinal: 715.
- Portuguese
- setecentos e quinze· ordinal: 715º
Appears in sequences
- Number of dissections of an n-gon, rooted at an exterior edge, asymmetric with respect to that edge.at n=8A000150
- Set partitions without singletons: number of partitions of an n-set into blocks of size > 1. Also number of cyclically spaced (or feasible) partitions.at n=8A000296
- Pentagonal numbers: a(n) = n*(3*n-1)/2.at n=22A000326
- Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24.at n=13A000332
- Number of tournaments on n nodes determined by their score vectors.at n=13A000570
- a(n) = binomial coefficient C(n,9).at n=4A000582
- Boustrophedon transform of 1,1,2,4,8,16,32,...at n=6A000734
- Fermat coefficients.at n=4A000972
- Generalized pentagonal numbers: m*(3*m - 1)/2, m = 0, +-1, +-2, +-3, ....at n=43A001318
- Coefficients of Legendre polynomials.at n=4A001795
- Expansion of (1+x^3)/((1-x)*(1-x^2)^2*(1-x^3)).at n=27A001973
- Number of two-rowed partitions of length 3.at n=19A001993
- Numbers of the form (p^2 - 49)/120 where p is prime.at n=30A002382
- Hexagonal pyramidal numbers, or greengrocer's numbers.at n=10A002412
- Odd squarefree numbers with an odd number of prime factors that have no prime factors greater than 31.at n=33A002556
- Numerators in expansion of sqrt(1+x). Absolute values give numerators in expansion of sqrt(1-x).at n=9A002596
- Expansion of 1/((1-x)^4*(1+x)).at n=18A002623
- Binomial coefficients C(2n+1, n-2).at n=4A003516
- Discriminants of the known imaginary quadratic fields with 1 class per genus (a finite sequence).at n=48A003644
- Numerator of n!!/(n+3)!!.at n=15A004732