12149
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12150
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12148
- Möbius Function
- -1
- Radical
- 12149
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 63
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1454
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n+3) = 5*a(n+2)-4*a(n+1)+a(n).at n=8A012880
- Expansion of x/(1 - 10*x - 7*x^2).at n=5A015589
- Numbers k such that the continued fraction for sqrt(k) has period 81.at n=9A020420
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 31.at n=1A031619
- Primes expressible as the sum of 3 consecutive palindromic primes.at n=11A046493
- First of triples of consecutive happy numbers, i.e., the first of three consecutive integers each of which is a happy number (A007770).at n=16A072494
- Expansion of (1-x)/(1+2*x+x^2+x^3).at n=16A078065
- a(1) = 1, a(2) = 2, a(3) = 3, a(n+3) = a(n) + a(n+1).at n=32A084338
- Primes of the form 6n^2 - 1.at n=19A090686
- Table(n,j) of primes p = k*prime(n)#/210-j, where k is the least integer such that p and p+8 are consecutive primes, for n > 4 and j=7 to 1.at n=15A098078
- Integer part of n#/((p-3)# 3#), where p=preceding prime to n.at n=56A102786
- Diagonal sums of Riordan array (1-x-x^2,x(1-x)).at n=36A109266
- Primes for which the weight as defined in A117078 is 9 and the gap as defined in A001223 is 8.at n=38A118922
- a(n) is n-th prime == -1 (mod 6n).at n=26A138905
- Primes congruent to 13 mod 41.at n=40A142210
- Primes congruent to 23 mod 43.at n=36A142272
- Primes congruent to 23 mod 47.at n=30A142374
- Primes congruent to 46 mod 49.at n=33A142453
- Primes congruent to 12 mod 53.at n=31A142542
- Primes congruent to 49 mod 55.at n=33A142636