3105
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 5760
- Proper Divisor Sum (Aliquot Sum)
- 2655
- 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
- 1584
- Möbius Function
- 0
- Radical
- 345
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 154
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Numbers that are the sum of 5 positive 5th powers.at n=47A003350
- From Apery continued fraction for zeta(3): zeta(3)=6/(5-1^6/(117-2^6/(535-3^6/(1463...)))).at n=4A006221
- Coordination sequence T1 for Zeolite Code EPI.at n=35A008090
- Coordination sequence T1 for Zeolite Code JBW.at n=37A008121
- Coordination sequence T2 for Zeolite Code YUG.at n=36A008248
- Coordination sequence T1 for Zeolite Code RTE.at n=38A009890
- Powers of fifth root of 4 rounded up.at n=29A018125
- Fibonacci sequence beginning 2, 7.at n=14A022113
- Every run of digits of n in base 14 has length 2.at n=23A033012
- Numbers whose base-14 expansion has no run of digits with length < 2.at n=37A033027
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 3 (mod 4).at n=37A035548
- Denominators of continued fraction convergents to sqrt(889).at n=9A042719
- a(n)=(s(n)+1)/4, where s(n)=n-th base 4 palindrome that starts with 3.at n=44A043049
- a(n)=(s(n)+2)/8, where s(n)=n-th base 8 palindrome that starts with 6 (in base 8), written in decimal digits.at n=22A043070
- Numbers k such that the string 3,0 occurs in the base 9 representation of k but not of k-1.at n=42A044278
- Numbers n such that string 0,5 occurs in the base 10 representation of n but not of n-1.at n=33A044337
- Numbers n such that string 0,5 occurs in the base 10 representation of n but not of n+1.at n=33A044718
- Positive integers having more base-14 runs of even length than odd.at n=24A044840
- Triangular matchstick numbers: a(n) = 3*n*(n+1)/2.at n=45A045943
- Odd numbers divisible by exactly 5 primes (counted with multiplicity).at n=28A046318