1713
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2288
- Proper Divisor Sum (Aliquot Sum)
- 575
- 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
- 1140
- Möbius Function
- 1
- Radical
- 1713
- 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
- 29
- Smith Number
- no
- Vampire 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
Appears in sequences
- List of pairs of primes in reverse order, starting at 1.at n=3A007796
- Coordination sequence T4 for Zeolite Code ZON.at n=29A009922
- a(n) = floor(binomial(n,5)/5).at n=18A011851
- a(n) = floor( n*(n-1)*(n-2)/25 ).at n=36A011907
- a(n) = floor(n*(n - 1)*(n - 2)/32).at n=39A011914
- Numbers k such that the continued fraction for sqrt(k) has period 34.at n=8A020373
- Numbers that are the sum of 3 nonzero squares in exactly 10 ways.at n=41A025330
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 26.at n=19A031524
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 20 ones.at n=16A031788
- Numbers whose set of base-5 digits is {2,3}.at n=43A032805
- Coordination sequence T4 for Zeolite Code SBS.at n=33A033611
- Number of partitions of n in which no parts are multiples of 5.at n=27A035959
- Number of partitions of n into parts not of the form 21k, 21k+4 or 21k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=26A035982
- Number of 5-ary rooted trees with n nodes and height at most 8.at n=11A036619
- Schoenheim bound L_1(n,n-5,n-6).at n=11A036837
- Number of partitions of n such that cn(0,5) = cn(1,5) = cn(3,5) <= cn(2,5) = cn(4,5).at n=59A036866
- Position of start of first occurrence of prime(n) after the decimal point in expansion of Pi.at n=53A037024
- Sequence A037094 shown in octal.at n=4A037099
- Number of "connected animals" formed from n triakis truncated tetrahedra connected along hexagonal faces in the triakis truncated tetrahedral honeycomb, allowing translations, rotations, and reflections of the honeycomb.at n=8A038169
- Numbers k such that 1 and 3 occur juxtaposed in the base-10 representation of k but not of k-1.at n=33A043226