12070
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23328
- Proper Divisor Sum (Aliquot Sum)
- 11258
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4480
- Möbius Function
- 1
- Radical
- 12070
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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
- yes
- Odd
- no
Appears in sequences
- Susceptibility series H_4 for 2-dimensional Ising model (divided by 2).at n=8A055856
- Numbers k such that k and its reversal are both multiples of 17.at n=38A062906
- Non-palindromic number and its reversal are both multiples of 17.at n=27A062915
- Numbers which can be expressed as the product of a number and its reversal in at least two different ways.at n=7A066531
- Numbers k such that sigma(k-2) + sigma(k+2) = sigma(2k).at n=9A067172
- Where records occur in A092419.at n=7A070040
- 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, 0, 1), (0, 0, 1), (1, 1, -1)}.at n=10A148314
- a(1)=4. a(n) = a(n-1) + n, if a(n-1)+n is composite. Otherwise a(n) = a(n-1)*n.at n=24A175459
- a(n) = [x^n/n!] Sum_{k=0..n} cosh(k*x)^k.at n=4A249489
- Start with a(0) = 0; then a(n) = smallest number > a(n-1) such that a(n) divides concat(a(n), a(n-1), ..., a(0)).at n=31A250746
- Numbers k such that (38*10^k + 547)/9 is prime.at n=23A275538
- Number of sets of nonempty words with a total of n letters over 8-ary alphabet.at n=4A292842
- Indices i in A112058 where records of 17*i - 3*A112058(i)/8 occur.at n=18A298991
- Numbers k with the property that there exists a positive integer multiplier M such that M times the sum of the digits of k, multiplied further by the reversal of this product, gives k.at n=23A305131
- Number of compositions (ordered partitions) of n into octagonal pyramidal numbers (A002414).at n=53A322856
- Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^(k^3).at n=15A343323
- Number of vertices in regular n-gon after 2 generations of mitosis.at n=14A349967
- Consecutive states of the linear congruential pseudo-random number generator (1255*s + 6173) mod 29282 when started at s=1.at n=23A385339
- Indices where the cumulative sum of sin(2k+1)^(2k+1) reaches a record high value.at n=16A387706
- a(n) is the number of 4 element sets of integer sided trapezoids with distinct areas and base angles that are 60 degrees, which fill an equilateral triangular grid of side n units.at n=39A389518