3995
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5184
- Proper Divisor Sum (Aliquot Sum)
- 1189
- 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
- 2944
- Möbius Function
- -1
- Radical
- 3995
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 82
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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) = 3*n^2 + 3*n - 1.at n=36A004538
- Coordination sequence T1 for Zeolite Code FER.at n=39A008106
- Coordination sequence T3 for Zeolite Code iRON.at n=44A009883
- Coordination sequence T1 for Zeolite Code CZP.at n=41A019456
- Coordination sequence T1 for Zeolite Code MWW.at n=42A024986
- Numbers k such that 81*2^k+1 is prime.at n=43A032390
- Coordination sequence T1 for Zeolite Code ESV.at n=42A038409
- Denominators of continued fraction convergents to sqrt(271).at n=8A041509
- Numbers whose base-5 representation contains exactly three 1's and two 4's.at n=25A045261
- Starting positions of strings of 2 6's in the decimal expansion of Pi.at n=32A050245
- Number of compositions minus number of partitions: A011782(n) - A000041(n).at n=13A056823
- Integers n > 1997 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 1997.at n=1A063055
- Composite n such that the sums of the composite numbers up to n, +/- 1, are twin primes.at n=31A065022
- Smallest multiple of 5 with digit sum n.at n=25A069534
- Odd interprimes not divisible by 3.at n=41A072573
- Left side of the triangle A075652.at n=43A075648
- a(n) = A080301(A080263(n)).at n=3A080266
- Numbers k such that the k-th and (k+1)-th primes have the same sum of squares of digits.at n=10A109182
- Numbers k such that both the k-th and (k+1)-th primes have the same sum of digits squared but different sets of digits.at n=1A109183
- n(k) is the minimum number of n that need at least another number of k to make Prime[n]+2*Prime[n-k]a prime.at n=45A114232