3692
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 7056
- Proper Divisor Sum (Aliquot Sum)
- 3364
- 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
- 1680
- Möbius Function
- 0
- Radical
- 1846
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 69
- 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
- Number of partitions of n into at most 6 parts.at n=40A001402
- A generalized partition function.at n=13A002602
- Coordination sequence T2 for Zeolite Code PHI.at n=44A008228
- Number of partitions of n in which the greatest part is 6.at n=46A026812
- 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 30.at n=33A031528
- Multiplicity of highest weight (or singular) vectors associated with character chi_189 of Monster module.at n=37A034577
- Numerators of continued fraction convergents to sqrt(553).at n=4A042058
- Number of score sequences in tournament with n players, when 7 points are awarded in each game.at n=4A047734
- Composite numbers k such that k!/k# + 1 is prime, where k# = primorial numbers A034386.at n=18A049420
- Numbers k such that usigma(k) = phi(k)*omega(k), where omega(k) is the number of distinct prime divisors of k.at n=8A063795
- Volume (multiplied by 3) of polyhedron formed by points (i,j,k) in Z^3 with i^2+j^2+k^2 = n^2.at n=7A065089
- Volume (multiplied by 3) of polyhedron formed by points (i,j,k) in Z^3 with i^2+j^2+k^2 = n.at n=49A065984
- n for which floor((3/2)^n) is prime.at n=20A070759
- Least k for the Theodorus spiral to complete n revolutions.at n=18A072895
- Partial sums of first m composite numbers arising in A053781.at n=5A073262
- Sum of composite numbers less than n-th prime.at n=24A079725
- In binary representation: least number, k, which occurs n times in its factorial.at n=19A093826
- Number of partitions of n into parts not greater than sqrt(n).at n=40A097356
- Least positive k such that k * [RSA-640]^n - 1 is prime, where RSA-640 is the 193 decimal digit RSA challenge number A391940(14).at n=30A108573
- Each term is previous term plus ceiling of geometric mean of all previous terms.at n=49A114830