2933
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3360
- Proper Divisor Sum (Aliquot Sum)
- 427
- 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
- 2508
- Möbius Function
- 1
- Radical
- 2933
- 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
- 97
- 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
- Positions of remoteness 6 in Beans-Don't-Talk.at n=42A005694
- Number of equivalence classes of 4 X n binary matrices when one can permute rows, permute columns and complement columns.at n=12A006380
- Coordination sequence T1 for Zeolite Code FER.at n=33A008106
- Seven iterations of Reverse and Add are needed to reach a palindrome.at n=37A015986
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14-x^15).at n=71A017891
- [ Sum (s(j) - s(i))^3 ], 1 <= i < j <= n, where s(k) = 1 + 1/2 + ... + 1/k.at n=45A025217
- a(n) = (d(n)-r(n))/2, where d = A026049 and r is the periodic sequence with fundamental period (1,0,0,1).at n=21A026050
- Concatenation of n-th prime number and n-th lucky number.at n=9A032603
- Concatenation of n and n + 4 or {n,n+4}.at n=28A032609
- Number of partitions of n into parts 4k+1 and 4k+2 with at least one part of each type.at n=43A035624
- a(n)=number of Gaussian integers z=a+bi satisfying |z|<=n+1/2.at n=30A036704
- Coordination sequence T6 for Zeolite Code ESV.at n=36A038413
- Growth function (or coordination sequence) of the infinite cubic graph corresponding to the srs net (a(n) = number of nodes at distance n from a fixed node).at n=47A038620
- Numerators of continued fraction convergents to sqrt(349).at n=4A041660
- Denominators of continued fraction convergents to sqrt(753).at n=9A042451
- Numbers having three 5's in base 8.at n=22A043443
- Numbers n such that string 3,3 occurs in the base 10 representation of n but not of n-1.at n=29A044365
- Numbers n such that string 3,3 occurs in the base 10 representation of n but not of n+1.at n=29A044746
- Find smallest pair (x,y) such that x^2-y^2 = 11...1 (n times) = (10^n-1)/9; sequence gives value of y.at n=7A048612
- a(n)=T(n,n+3), array T as in A049735.at n=20A049743