3354
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 7392
- Proper Divisor Sum (Aliquot Sum)
- 4038
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1008
- Möbius Function
- 1
- Radical
- 3354
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 43
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k such that 9*2^k + 1 is prime.at n=28A002256
- Mian-Chowla sequence (a B_2 sequence): a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the pairwise sums of elements are all distinct.at n=42A005282
- Coordination sequence T1 for Zeolite Code ATV.at n=37A008043
- Coordination sequence T5 for Zeolite Code MTW.at n=38A008200
- a(n) = floor( n*(n-1)*(n-2)/29 ).at n=47A011911
- a(n) = (d(n)-r(n))/5, where d = A026057 and r is the periodic sequence with fundamental period (1,0,3,1,0).at n=39A026059
- Numbers n such that string 5,4 occurs in the base 10 representation of n but not of n-1.at n=36A044386
- Numbers n such that string 5,4 occurs in the base 10 representation of n but not of n+1.at n=36A044767
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n-2)/2.at n=22A047192
- a(n) = (2*n-1)*(n^2 -n +6)/6.at n=21A049480
- Sum of a(n) terms of 1/k^(3/4) first exceeds n.at n=27A056179
- Number of ways to cover (without overlapping) a ring lattice (necklace) of n sites with molecules that are 9 sites wide.at n=41A058364
- Positive numbers whose product of digits is 12 times their sum.at n=25A062045
- Numbers k that, when expressed in base 5 and then interpreted in base 8, give a multiple of k.at n=24A062930
- Numbers k such that prime(k) + k and prime(k) - k are both primes.at n=41A064403
- a(n) = 2*n^2 + 8*n.at n=38A067728
- Numbers n such that sum of primes dividing n (with repetition) is equal to the largest prime factor of n+1.at n=12A071863
- Indices of primes occurring in A030284.at n=28A107365
- a(1)=1, a(2) = 2. a(n) = a(n-2) + (largest prime dividing a(n-1)).at n=47A112337
- Number of doubletons in all partitions of n. By a doubleton in a partition we mean an occurrence of a part exactly twice (the partition [4,(3,3),2,2,2,(1,1)] has two doubletons, shown between parentheses).at n=29A116646