3037
domain: N
Properties
Digital Properties
- Digit Count
- 4
- 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
- 3038
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3036
- Möbius Function
- -1
- Radical
- 3037
- 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
- 61
- 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
- 435
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- From a Goldbach conjecture: records in A185091.at n=29A002092
- Centered 12-gonal numbers, or centered dodecagonal numbers: numbers of the form 6*k*(k-1) + 1.at n=22A003154
- Number of partitions of n into parts of sizes {a( )} is a(n).at n=42A007209
- Number of different parameter sets for orthogonal arrays with 2^n runs.at n=6A008286
- Coordination sequence T6 for Zeolite Code VNI.at n=34A009912
- Coordination sequence for sigma-CrFe, Position Xa.at n=14A009962
- a(n) = prime(n*(n+1)/2).at n=28A011756
- Number of ordered 5-tuples of integers from [ 2,n ] with no common factors among quadruples.at n=11A015655
- Coordination sequence T8 for Zeolite Code TER.at n=37A016440
- Numbers k such that the continued fraction for sqrt(k) has period 51.at n=5A020390
- Smallest nonempty set S containing prime divisors of 7k+6 for each k in S.at n=48A020611
- Fibonacci sequence beginning 5, 18.at n=12A022142
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 5.at n=40A023243
- Primes that remain prime through 2 iterations of function f(x) = 5x + 2.at n=33A023252
- Numbers with exactly 7 1's in their ternary expansion.at n=2A023698
- Least m such that if r and s in {1/3, 1/6, 1/9, ..., 1/3n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=24A024838
- Sequence A025513 divided by 2.at n=4A025514
- Smallest nontrivial extension of n-th palindrome which is a prime.at n=38A030675
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 9.at n=6A031422
- a(0) = 1, a(n) is the greatest prime factor of a(n-1)^2+1 for n > 0.at n=10A031439