3624
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9120
- Proper Divisor Sum (Aliquot Sum)
- 5496
- 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
- 1200
- Möbius Function
- 0
- Radical
- 906
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 17
- 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 rooted triangular cacti with 2n+1 nodes (n triangles).at n=9A003080
- Coordination sequence T8 for Zeolite Code MFS.at n=37A008180
- Number of partitions of n into an even number of parts, the least being 2; also, a(n+2) = number of partitions of n into an odd number of parts, each >=2.at n=42A027194
- Least term in period of continued fraction for sqrt(n) is 5.at n=19A031429
- Coordination sequence T5 for Zeolite Code ESV.at n=40A038414
- Numbers k such that the string 6,6 occurs in the base 9 representation of k but not of k-1.at n=44A044311
- Numbers k such that the string 2,4 occurs in the base 10 representation of k but not of k-1.at n=40A044356
- Sum of the first n palindromes (A002113).at n=34A046489
- Numbers k such that 195*2^k-1 is prime.at n=41A050849
- a(n) = Sum_{k=1..n} lcm(n,k).at n=23A051193
- Numbers whose 4th power is the sum of two positive cubes in a nontrivial way.at n=40A051387
- Numbers n such that Sum_{k=1..n} d(k) is an integer where d(k) is the decimal fraction 0.k (e.g. d(999)=0.999).at n=6A054464
- Low-temperature partition function expansion for square lattice (Potts model, q=4).at n=14A057381
- Number of primes between n^5 and (n+1)^5.at n=9A062517
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 85 ).at n=14A063358
- Barriers for bigomega(n): numbers n such that, for all m < n, m + bigomega(m) <= n.at n=29A068597
- Smallest of 4 consecutive numbers each divisible by a square.at n=8A070284
- Numbers k such that 1/(1/phi(k) + 1/phi(k+1) + 1/phi(k+2)) is an integer.at n=30A073543
- Numbers k such that 1/(1/phi(k) + 1/phi(k+1) + 1/phi(k+2) + 1/phi(k+3)) is an integer.at n=9A073544
- Final terms of rows in A077339.at n=35A077340