3377
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3696
- Proper Divisor Sum (Aliquot Sum)
- 319
- 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
- 3060
- Möbius Function
- 1
- Radical
- 3377
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 35
- 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
- Number of partitions of n of the form a_1*b_1^2 + a_2*b_2^2 + ...; number of semisimple rings with p^n elements for any prime p.at n=24A004101
- a(0) = 1, a(n) = 15*n^2 + 2 for n>0.at n=15A010005
- Numbers n such that phi(n) * sigma(n) + 9 is a perfect square.at n=37A015728
- Numbers whose set of base-14 digits is {1,3}.at n=21A032921
- Every run of digits of n in base 10 has length 2.at n=33A033008
- a(n) = (n-1)*(n-2)*(n-3) + n.at n=16A034324
- Denominators of continued fraction convergents to sqrt(779).at n=5A042503
- Numbers k such that the string 6,2 occurs in the base 9 representation of k but not of k-1.at n=45A044307
- Numbers n such that string 7,7 occurs in the base 10 representation of n but not of n-1.at n=33A044409
- Numbers n such that string 7,7 occurs in the base 10 representation of n but not of n+1.at n=33A044790
- Positive integers having more base-10 runs of even length than odd.at n=36A044836
- Numbers having, in base 15, (sum of even run lengths)=(sum of odd run lengths).at n=1A044886
- Numbers whose base-5 representation contains exactly three 0's and two 2's.at n=7A045186
- a(n) = Sum_{i=0..2n} (-1)^i * T(i,2n-i), array T as in A049723.at n=23A049725
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 1.at n=41A050041
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 24.at n=21A051965
- Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; the n-th Fibonacci number is in antidiagonal a(n).at n=33A057042
- Numbers k such that floor(Pi*k) is a square.at n=36A061812
- Multiples of 11 having only odd digits.at n=37A061833
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 47 ).at n=37A063320