12705
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 25536
- Proper Divisor Sum (Aliquot Sum)
- 12831
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 5280
- Möbius Function
- 0
- Radical
- 1155
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 107
- 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
- no
- Odd
- yes
Appears in sequences
- Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m).at n=27A005231
- Odd primitive abundant numbers.at n=19A006038
- Numbers k that divide s(k), where s(1)=1, s(j)=15*s(j-1)+j.at n=42A014865
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite PAR = Partheite Ca8[Al16Si16O60(OH)8].16H2O starting with a T2 atom.at n=6A019047
- Number of singular 2 X 2 matrices over Z(n) (i.e., with determinant = 0).at n=20A020478
- Number of edge-rooted tree-like octagonal systems.at n=5A036758
- Odd numbers with exactly 5 palindromic prime factors (counted with multiplicity).at n=40A046375
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/5 of the elements are <= n/2.at n=21A047165
- Number of nonempty subsets of {1,2,...,n} in which exactly 4/5 of the elements are <= n/2.at n=21A047168
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= n/3.at n=32A048002
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n+1)/3.at n=32A048048
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n+2)/3.at n=32A048081
- (1/18)*Difference between concatenation of n and n^2 and concatenation of n^2 and n.at n=34A055435
- Boundaries of primorial intervals [1,3]; [3,9],[9,15]; [15,45], etc.at n=16A065917
- a(n) = 11*n^2 + 22*n.at n=32A067705
- a(n) = least k such that 2ik + 1 is prime for all 1 <= i <= n.at n=5A071576
- Numbers n such that A001414(n) = sum of composites from the smallest prime factor of n to the largest prime factor of n.at n=4A074053
- Odd primitive numbers such that n! divided by product of factorials of all proper divisors of n is not an integer.at n=15A075460
- Numbers n such that n = product (p_k)^(c_k) and set of its (c_k k's)'s is a self-conjugate partition, where p_k is k-th prime and c_k > 0.at n=43A088902
- A089450 indexed by A000040.at n=7A089525