3507
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5376
- Proper Divisor Sum (Aliquot Sum)
- 1869
- 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
- 1992
- Möbius Function
- -1
- Radical
- 3507
- 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
- 56
- 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
- no
- Odd
- yes
Appears in sequences
- Number of clouds with n points; number of undirected 2-regular labeled graphs; or number of n X n symmetric matrices with (0,1) entries, trace 0 and all row sums 2.at n=8A001205
- Number of partitions of n into at most 5 parts.at n=49A001401
- Numbers k such that k! - 1 is prime.at n=18A002982
- Number of nonequivalent dissections of an n-gon into (n-3) polygons by nonintersecting diagonals rooted at a cell up to rotation.at n=6A003442
- Number of graphs with n nodes, n+1 edges and no isolated vertices.at n=6A006650
- Coordination sequence T1 for Zeolite Code AET.at n=41A008007
- Coordination sequence T3 for Zeolite Code AFO.at n=39A008017
- Coordination sequence T4 for Zeolite Code MEL.at n=38A008153
- Coordination sequence T3 for Zeolite Code RUT.at n=39A009899
- a(n) = Sum_{k = 1..n} k*floor((n + prime(k))/k).at n=35A024929
- Number of partitions of n in which the greatest part is 5.at n=54A026811
- Smaller of a pair of consecutive lucky numbers with a gap of 2n.at n=25A031884
- Lucky numbers with size of gaps equal to 8 (upper terms).at n=40A031891
- Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 0 (mod 5).at n=46A035410
- Number of partitions of n into parts not of the form 25k, 25k+7 or 25k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=28A036006
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+3 or 24k-3. Also number of partitions in which no odd part is repeated, with 1 part of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=44A036030
- Odd composite numbers n such that the digit sum of n equals digit sum of sum of its prime factors (counted with multiplicity).at n=43A036923
- Numbers having three 6's in base 8.at n=21A043447
- Numbers k such that the string 0,7 occurs in the base 10 representation of k but not of k-1.at n=37A044339
- Numbers n such that string 0,7 occurs in the base 10 representation of n but not of n+1.at n=37A044720