3317
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3456
- Proper Divisor Sum (Aliquot Sum)
- 139
- 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
- 3180
- Möbius Function
- 1
- Radical
- 3317
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 92
- 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
- Fibonacci sequence beginning 2, 13.at n=13A022116
- a(n) is the position of square of n-th prime among the powers of primes (A000961).at n=39A024624
- a(n) = [ Sum{(log(j)-log(i))^3} ], 2 <= i < j <= n.at n=51A025207
- a(n)/1000 gives sqrt(n) to 3 places after the decimal point.at n=10A027662
- Number of binary codes (not necessarily linear) of length n with 3 words.at n=45A034198
- Nonprime; becomes prime if any digit is deleted (zeros not allowed in the number).at n=43A034304
- Multiplicity of highest weight (or singular) vectors associated with character chi_153 of Monster module.at n=38A034541
- Smallest positive number containing n e's when spelled out in US English.at n=9A036448
- Numerators of continued fraction convergents to sqrt(489).at n=6A041932
- Denominators of continued fraction convergents to sqrt(619).at n=8A042189
- Denominators of continued fraction convergents to sqrt(886).at n=11A042713
- Numbers whose base-5 representation has exactly 6 runs.at n=26A043606
- Numbers k such that the string 8,5 occurs in the base 9 representation of k but not of k-1.at n=44A044328
- Numbers n such that string 1,7 occurs in the base 10 representation of n but not of n-1.at n=37A044349
- Numbers n such that string 8,5 occurs in the base 9 representation of n but not of n+1.at n=44A044709
- Numbers n such that string 1,7 occurs in the base 10 representation of n but not of n+1.at n=37A044730
- a(n)=T(n,n), array T as in A049735.at n=23A049740
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 6.at n=17A050955
- Discriminants of real quadratic fields with class number 1 and nonzero n_Delta.at n=66A053329
- Let Py(n)=A000330(n)=n-th square pyramidal number. Consider all integer triples (i,j,k), j >= k>0, with Py(i)=Py(j)+Py(k), ordered by increasing i; sequence gives k values.at n=36A053721