1715
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2400
- Proper Divisor Sum (Aliquot Sum)
- 685
- 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
- 1176
- Möbius Function
- 0
- Radical
- 35
- Omega Function (Ω)
- 4
- 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
- no
- Squarefree Number
- no
- 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
- Numbers n such that n / product of digits of n is a square.at n=13A001104
- Numbers that are the sum of 7 positive 6th powers.at n=19A003363
- Numbers of the form 5^i*7^j with i, j >= 0.at n=13A003595
- Number of permutations of [n] with four inversions.at n=10A005287
- Euler characteristics of polytopes.at n=13A006482
- Numbers that are divisible by the product of their digits.at n=50A007602
- Expansion of (1-x^7)/(1-x)^7.at n=7A008489
- a(n) = binomial(2n+1, n+1) - 1.at n=6A010763
- Numbers k such that the geometric mean of phi(k) and sigma(k) is an integer.at n=26A011257
- Central binomial coefficient - 1.at n=13A014495
- Numbers k that divide s(k), where s(1)=1, s(j)=15*s(j-1)+j.at n=22A014865
- Geometric mean of phi(n) and sigma(n) is an integer, n odd.at n=11A015705
- Powers of fourth root of 15 rounded to nearest integer.at n=11A018088
- Powers of fourth root of 15 rounded up.at n=11A018089
- Number of partitions of n into 6 unordered relatively prime parts.at n=33A023026
- Number of compositions of n into 7 ordered relatively prime parts.at n=7A023032
- Number of 10's in all partitions of n.at n=33A024794
- Coordination sequence T6 for Zeolite Code MWW.at n=27A024991
- a(n) = sum of the numbers between the two n's in A026350.at n=38A026353
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 21 (most significant digit on left).at n=49A029466