1720
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 3960
- Proper Divisor Sum (Aliquot Sum)
- 2240
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 672
- Möbius Function
- 0
- Radical
- 430
- Omega Function (Ω)
- 5
- 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
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 104
- 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
- yes
- Odd
- no
Appears in sequences
- Related to representation as sums of squares.at n=13A002292
- Numbers that are the sum of 12 positive 6th powers.at n=29A003368
- Numbers not of form p + 2^x + 2^y.at n=37A006286
- Number of genus 1 rooted maps with 2 faces with n vertices.at n=2A006295
- Number of genus 1 rooted maps with 3 faces with n vertices.at n=1A006296
- Number of rooted genus-1 maps with n edges.at n=3A006297
- Number of strict 5th-order maximal independent sets in cycle graph.at n=42A007393
- Sum of the first n primes.at n=31A007504
- Coordination sequence T1 for Zeolite Code PHI.at n=30A008227
- Coordination sequence T2 for Zeolite Code iRON.at n=29A009882
- Coordination sequence for alpha-Mn, Position Mn3.at n=11A009952
- Sum of first prime(n) primes.at n=10A022094
- Fibonacci sequence beginning 7, 15.at n=11A022389
- Convolution of natural numbers with Beatty sequence for tau^2 A001950.at n=14A023542
- Number of sets S = {a_1, a_2, ..., a_k}, with 1 < a_i < a_j <= n such that no a_j divides the product of all the others.at n=16A023995
- a(n) = sum of the numbers between the two n's in A026370.at n=21A026373
- a(n) = n*(n+3).at n=40A028552
- Concatenation of n and n + 3.at n=16A032608
- Dirichlet convolution of primes (with 1) with themselves.at n=47A034759
- Increasing gaps among twin primes: size.at n=20A036063