12040
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 31680
- Proper Divisor Sum (Aliquot Sum)
- 19640
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4032
- Möbius Function
- 0
- Radical
- 3010
- Omega Function (Ω)
- 6
- 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
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=42A002653
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=42A002706
- a(n) = a(n-1) + a(n-2) + a(n-3).at n=15A007486
- a(n) = n*(13*n + 1)/2.at n=43A022271
- Positive numbers k such that k and 2*k are anagrams in base 8 (written in base 8).at n=21A023073
- a(n) = (d(n)-r(n))/2, where d = A026043 and r is the periodic sequence with fundamental period (1,1,0,0).at n=38A026044
- Denominators of continued fraction convergents to sqrt(265).at n=9A041497
- Numbers that divide the sum of cubes of their divisors.at n=38A046763
- Multiples of 7 whose sum of digits is equal to 7.at n=25A063416
- Triangle, read by rows, where g.f. of row n equals the product of (1-x)^n and the g.f. of the coordination sequence for root lattice B_n, for n >= 0.at n=39A109001
- a(n) = Sum_{k=1..n} k*(prime(k) - k).at n=19A110477
- Generator for the finite sequence A053016.at n=34A136254
- Number of partitions of n times number of divisors of n.at n=26A141667
- 4 times heptagonal numbers: a(n) = 2*n*(5*n-3).at n=35A153784
- a(n) = n*(n-1)*(n+1)*(3*n-2)/12.at n=14A153978
- Sum_{j=k(n)..prime(n)} j where k is the n-th nonprime nonnegative integer.at n=37A161669
- First terms "a" of quadruples a>b>c>d>0 with six square pairwise sums.at n=35A175534
- Sums of two successive primes s such that s+-3 are primes.at n=21A179485
- Numbers n such that 30n+{11, 13, 17, 19, 23} are 5 consecutive primes.at n=19A182279
- Molecular topological indices of the odd graphs.at n=3A192835