1335
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2160
- Proper Divisor Sum (Aliquot Sum)
- 825
- 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
- 704
- Möbius Function
- -1
- Radical
- 1335
- 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
- yes
- 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
- 145
- 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
- Pentagonal numbers: a(n) = n*(3*n-1)/2.at n=30A000326
- Generalized pentagonal numbers: m*(3*m - 1)/2, m = 0, +-1, +-2, +-3, ....at n=59A001318
- Numbers that are the sum of 8 positive 5th powers.at n=49A003353
- Divisors of 2^44 - 1.at n=14A003549
- a(n) = floor(n*phi^7), where phi is the golden ratio, A001622.at n=46A004922
- Tumbling distance for n-input mappings with 4 steps.at n=3A005949
- Coordination sequence T2 for Zeolite Code BPH.at n=28A008056
- Coordination sequence T1 for Zeolite Code EMT.at n=30A008086
- Expansion of (1 + 2*x^2 + x^3)/((1 - x)^2*(1 - x^3)).at n=44A008822
- Apply (1+Shift)^2 to Bell numbers.at n=7A011969
- Aitken's array: triangle of numbers {a(n,k), n >= 0, 0 <= k <= n} read by rows, defined by a(0,0)=1, a(n,0) = a(n-1,n-1), a(n,k) = a(n,k-1) + a(n-1,k-1).at n=30A011971
- Sequence formed by reading rows of triangle defined in A011971.at n=23A011972
- Odd pentagonal numbers.at n=15A014632
- G.f.: (1+x)*(1+x^3)*(1+x^5)*(1+x^7)*(1+x^9)/((1-x^2)*(1-x^4)*(1-x^6)*(1-x^8)*(1-x^10)).at n=41A014670
- a(1) = 1; a(n+1) = floor((sum{k=1 to n} a(k)^3)^(1/3)).at n=39A016085
- Fibonacci sequence beginning 0, 15.at n=11A022349
- Convolution of natural numbers >= 2 and (F(2), F(3), F(4), ...).at n=10A023550
- Convolution of odd numbers and A014306.at n=39A023661
- a(n) = (prime(n)^2 - 1)/24.at n=38A024702
- Every suffix prime and no 0 digits in base 6 (written in base 6).at n=22A024781