3401
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3600
- Proper Divisor Sum (Aliquot Sum)
- 199
- 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
- 3204
- Möbius Function
- 1
- Radical
- 3401
- Omega Function (Ω)
- 2
- 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
- 87
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 Fielder sequence: a(n) = a(n-1) + a(n-2) - a(n-6), n >= 7.at n=18A001635
- Numbers that are the sum of 4 positive 5th powers.at n=39A003349
- a(n) = floor(1000*log(n)).at n=29A004240
- a(n) = 1000*log(n) rounded to the nearest integer.at n=29A004241
- Numbers k such that k*18^k + 1 is prime.at n=6A007648
- Coordination sequence T1 for Zeolite Code MTN.at n=35A008186
- Fibonacci sequence beginning 1, 23.at n=12A022393
- The sequence m(n) in A022905.at n=34A022907
- Plaindromes: numbers whose digits in base 3 are in nondecreasing order.at n=41A023745
- n written in fractional base 5/3.at n=26A024633
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=35A024840
- Coordination sequence T2 for Zeolite Code CGS.at n=43A027366
- Coordination sequence T4 for Zeolite Code CGS.at n=43A027368
- Number of distinct products ijk with 0 <= i,j,k <= n.at n=37A027426
- Numbers k such that k^2 is palindromic in base 15.at n=36A030073
- Square root of A030688.at n=33A030689
- Number of partitions in parts not of the form 19k, 19k+1 or 19k-1. Also number of partitions with no part of size 1 and differences between parts at distance 8 are greater than 1.at n=36A035970
- Numbers k for which k-th primorial + square of (k+1)-th prime is also a prime.at n=16A038767
- Numerators of continued fraction convergents to sqrt(357).at n=5A041676
- Numbers whose base-15 representation has exactly 4 runs.at n=10A043671