3702
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7416
- Proper Divisor Sum (Aliquot Sum)
- 3714
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1232
- Möbius Function
- -1
- Radical
- 3702
- 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
- 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
- 131
- Smith Number
- no
- Vampire 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T3 for Zeolite Code SGT.at n=38A008231
- Coordination sequence T3 for Zeolite Code THO.at n=43A008240
- a(n) = floor( n*(n-1)*(n-2)/20 ).at n=43A011902
- 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 60.at n=9A031558
- Number of centered 6-valent trees with n nodes.at n=15A036651
- Number of pairs {i,j}, i>1, j>1, such that ij < n^2.at n=35A037048
- Number of n-node planar graphs with minimum degree at least 4.at n=11A049372
- Starting positions of strings of 2 3's in the decimal expansion of Pi.at n=26A050222
- Numbers k such that 263*2^k-1 is prime.at n=10A050890
- Numbers n such that 275*2^n-1 is prime.at n=16A050896
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 18.at n=38A051983
- Number of 2 X 2 singular integer matrices with elements from {0,...,n} up to row and column permutation.at n=38A064276
- For even n>=4, let f(n)=A066285(n/2) be the minimal difference between primes p and q whose sum is n. This sequence contains the successive maxima of f.at n=43A066286
- Number of rooted trees of 2n+1 nodes with every leaf at height n.at n=16A074045
- Lesser of two successive squarefree numbers whose product is not squarefree.at n=33A077395
- Number of prime squares with maximum integer n (see comment for definition).at n=38A086284
- Numbers k such that bigomega(k!)/omega(k!) is an integer.at n=38A088533
- Initial values for the iteration of the function f(x) = A063919(x) such that the iteration ends in a 5-cycle, i.e., in A097024.at n=28A097035
- Partial sums of repdigits of A002277.at n=3A099670
- Smallest m such that A102730(m) = n.at n=11A103670