12037
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12038
- 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
- 12036
- Möbius Function
- -1
- Radical
- 12037
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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
- 1441
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 4x + 9.at n=31A023282
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 2), t = (Lucas numbers).at n=14A024310
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 68 ones.at n=11A031836
- Denominators of continued fraction convergents to sqrt(424).at n=12A041807
- Primes at which the difference pattern X42Y (X and Y >= 6) occurs in A001223.at n=27A052164
- Primes p such that x^59 = 2 has no solution mod p.at n=27A059312
- Primes of the form k^2 + prime(k) + 1.at n=10A063461
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4,2,6]; short d-string notation of pattern = [426].at n=9A078850
- Records in A079387.at n=12A079388
- Sum of the n-th row of A077339.at n=16A081929
- Beginning with 2, least prime not occurring earlier such that the concatenation of first n terms has the least prime factor prime(n).at n=43A100759
- Primes of the form 47n+5.at n=32A100760
- Larger prime in pair prime(k) +/- k for some k.at n=20A107637
- a(2)=1; for n>2, a(n) = A109742(n)/3.at n=6A109743
- Cyclops primes.at n=25A134809
- Mother primes of order 8.at n=23A136067
- a(1) = 1, a(n) = the smallest prime divisor of A138793(n).at n=54A138962
- Primes of the form 210k + 67.at n=30A140855
- Primes congruent to 12 mod 37.at n=39A142121
- Primes congruent to 24 mod 41.at n=33A142221