12427
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 13508
- Proper Divisor Sum (Aliquot Sum)
- 1081
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11424
- Möbius Function
- 0
- Radical
- 731
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 63
- 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
- a(n) = d(n)/2, where d = A026040.at n=39A026041
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 3,0,2,1.at n=4A037769
- Positive numbers whose product of digits is 7 times their sum.at n=32A062384
- Numbers n such that n and n+2 are of the form p^2*q where p and q are distinct primes.at n=39A074173
- Expansion of (1-4x)/((1-5x)(1-6x)).at n=5A085352
- Number of ways to partition 1 into reduced fractions i/j with j <= n.at n=17A119983
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+833)^2 = y^2.at n=27A129010
- Numbers of the form 12n+7 for which Sum_{i=0..(4n+2)} J(i,12n+7) = 0, where J(i,m) is the Jacobi symbol.at n=38A165463
- 3-comma numbers: n occurs in the sequence S[k+1]=S[k]+10*last_digit(S[k-1])+first_digit(S[k]) for three different splittings n=concat(S[0],S[1]).at n=8A166513
- Numbers k such that 9k+4 are terms in A072841.at n=31A175518
- Number of 3 X n binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally.at n=42A188554
- Partial sums of 3-almost primes which are again 3-almost primes, i.e., have exactly 3 not necessarily distinct prime factors.at n=20A217018
- Minimum value unattainable as the sum of 7 attained values of i^2 with i in 0..n.at n=44A225280
- Number of (4+1) X (n+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=36A250658
- Number of (n+2)X(6+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=20A254905
- Numbers k such that (17*10^k + 13)/3 is prime.at n=25A272059
- a(n) = (prime(1+n)*prime(n)) + prime(n) + 1.at n=28A286624
- Numbers k such that 9*10^k + 59 is prime.at n=18A290432
- Number of unlabeled P-series with n elements.at n=11A349276
- Numbers k such that k and k+2 both have exactly 6 divisors.at n=41A356743