3380
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 7686
- Proper Divisor Sum (Aliquot Sum)
- 4306
- 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
- 1248
- Möbius Function
- 0
- Radical
- 130
- 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
- yes
- 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
- 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
- yes
- Odd
- no
Appears in sequences
- Number of ways of writing n as a sum of 10 squares.at n=4A000144
- Numbers that are the sum of 2 squares in exactly 3 ways.at n=34A000443
- Theta series of {D_10}^{+} lattice.at n=8A004532
- Number of walks on cubic lattice.at n=19A005570
- Prime(n)*...*prime(a(n)) is the least product of consecutive primes that is non-deficient.at n=38A007684
- Prime(n)*...*prime(a(n)) is the least product of consecutive primes which is abundant.at n=38A007707
- Coordination sequence T1 for feldspar.at n=39A008254
- Theta series of {D_10}* lattice.at n=8A008426
- Theta series of D_10 lattice.at n=2A008432
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite DAC = Dachiardite Na5[Al5Si19O48].12H2O starting with a T4 atom.at n=11A019105
- From George Gilbert's marks problem: jumping 5 marks at a time (final positions).at n=3A019994
- Number of 3's in n-th term of A006711.at n=34A022479
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A000408.at n=35A024802
- Numbers that are the sum of 2 nonzero squares in exactly 3 ways.at n=32A025286
- Numbers that are the sum of 2 nonzero squares in 3 or more ways.at n=42A025294
- Numbers that are the sum of 2 distinct nonzero squares in exactly 3 ways.at n=31A025304
- Numbers that are the sum of 2 distinct nonzero squares in 3 or more ways.at n=41A025313
- a(n) = T(n, 2*n-5), T given by A027926.at n=12A027928
- Euler transform of 3 2 1 1 1 1 1 1...at n=14A029859
- a(n) = 5*n^2.at n=26A033429