12245
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15360
- Proper Divisor Sum (Aliquot Sum)
- 3115
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9360
- Möbius Function
- -1
- Radical
- 12245
- 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
- 50
- 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
- Positive numbers k such that k and 2*k are anagrams in base 8 (written in base 8).at n=23A023073
- Positive numbers k such that k and 4*k are anagrams in base 8 (written in base 8).at n=11A023075
- a(n) = (2*n+1) * (4*n-1).at n=39A033566
- Trajectory of 3 under map n->7n+1 if n odd, n->n/2 if n even.at n=30A037101
- Numbers k such that sigma(k) = phi(k*bigomega(k)+1).at n=41A067876
- Numbers k such that sigma(k) = phi(k*omega(k)+1).at n=43A067879
- E.g.f.: A(x) = f(x*A(x)^2), where f(x) = exp(arctan(x)).at n=5A088691
- Least n-digit multiple of n such that the r-th digit is prime if r is a prime else it is composite. The location and value of the most significant digit is 1. 0 if no such number exists.at n=4A113572
- Numerators of the continued fraction convergents of the decimal concatenation of the twin prime pairs.at n=11A128848
- Limiting values of A136406: a(n) = A136406(m,m-n) for any m >= 2n.at n=26A137504
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (0, 1, -1), (0, 1, 1), (1, 0, 0)}.at n=8A150001
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, 0), (0, 1), (1, -1), (1, 1)}.at n=10A151409
- Numbers m such that 6m+1, 12m+1, 18m+1, 36m+1 and 72m+1 are all prime.at n=12A257035
- Number of compositions of n into distinct parts where each part i is marked with a word of length i over a binary alphabet whose letters appear in alphabetical order and all letters occur at least once in the composition.at n=10A261853
- The number of length-n permutations avoiding the patterns 1234, 1324 and 2143.at n=9A263790
- a(0)=7; a(n) = 7*a(n-1) + 1 if a(n-1) is odd, a(n) = a(n-1)/2 otherwise.at n=35A271623
- Number of primes between n and 2^n inclusive.at n=17A284437
- a(n) is the least k > n such that A007504(n) divides A007504(k).at n=48A303640
- Floor of area of triangle whose sides are consecutive Ulam numbers (A002858).at n=34A330909
- Where ones occur in A349085. These correspond to rationals, 0 < p/q < 1, that have a unique solution, p/q = 1/v + 1/w + 1/x + 1/y + 1/z, 0 < v < w < x < y < z.at n=31A349098