12102
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 24216
- Proper Divisor Sum (Aliquot Sum)
- 12114
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4032
- Möbius Function
- -1
- Radical
- 12102
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 68
- 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
- a(0) = 1, a(n) = 25*n^2 + 2 for n > 0.at n=22A010015
- a(n) = (d(n)-r(n))/2, where d = A026066 and r is the periodic sequence with fundamental period (1,0,0,0).at n=40A026067
- Numbers k such that k is a substring of its base-3 representation.at n=17A038103
- Numbers k such that 111*2^k-1 is prime.at n=38A050581
- Numbers k such that k | sigma_7(k) - phi(k)^7.at n=14A055701
- Numbers in base -3.at n=38A073785
- Another lazy binary representation of n: similar to A089591 except that the single carry is performed before the increment instead of after.at n=38A089600
- Number of products of distinct factorials not exceeding n!.at n=35A101977
- Number of compositions of n with exactly 3 adjacent equal parts.at n=13A106359
- Admirable Harshad numbers such that the subtracted divisor is also a Harshad number.at n=21A109396
- Admirable Harshad numbers n such that the subtracted divisor is equal to the digital sum of n.at n=11A111948
- Ternary emirpimes.at n=11A119684
- a(n) = F(n)^2 + F(n+1)^2 + F(n+2)^2, where F(n) denotes the n-th Fibonacci number.at n=9A127546
- Expansion of q * (psi(q^3)^3 / psi(q)) / (phi(-q)^3 / phi(-q^3)) in powers of q where phi(), psi() are Ramanujan theta functions.at n=9A128638
- Beginning of a run of 4 consecutive Niven (or Harshad) numbers.at n=12A141769
- Numbers k such that k, k + 1 and k + 2 are 3 consecutive Harshad numbers.at n=30A154701
- a(n) = floor(a(n-1)/3)+a(n-2) with a(0)=2, a(1)=3.at n=54A182281
- Numbers n such that there is no triangular n-gonal number greater than 1.at n=27A188892
- Numbers 3*n + 2 written in base 3.at n=48A190642
- Number of tatami tilings of a 4 X n grid (with monomers allowed).at n=12A192090