3597
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5280
- Proper Divisor Sum (Aliquot Sum)
- 1683
- 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
- 2160
- Möbius Function
- -1
- Radical
- 3597
- 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
- 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
- 118
- 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
- Pseudoprimes to base 76.at n=42A020204
- a(n) = Sum{T(i,j)}, 0<=i<=n, 0<=j<=i, T given by A026714.at n=9A026723
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 38.at n=30A031536
- Exactly 5 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a prime.at n=30A032695
- Numbers n such that string 9,7 occurs in the base 10 representation of n but not of n-1.at n=38A044429
- Numbers n such that string 9,7 occurs in the base 10 representation of n but not of n+1.at n=38A044810
- Composite numbers whose 3 prime factors are distinct in length.at n=26A046443
- 4-digit terms in the continued fraction for Pi.at n=19A048958
- a(n)=T(n,n), array T as in A049735.at n=24A049740
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 4.at n=42A051969
- Engel expansion of Pi^2/6, or zeta(2) = 1.64493.at n=9A059186
- a(n) = floor(a(n-1)*3/2) with a(1) = 2.at n=19A061418
- Multiples of 11 having only odd digits.at n=42A061833
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 53 ).at n=31A063326
- Numbers k for which phi(k) + anti-phi(k) = k.at n=22A066418
- Numbers k that divide 2^(k+3) - 1.at n=22A069927
- Expansion of (1+x^3*C)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=7A071728
- Numbers n such that n!! + 2 is prime.at n=18A076185
- Solve 2^n - 2 = 7(x^2 - x) + (y^2 - y) for (x,y) with x>0, y>0; sequence gives value of x.at n=30A076632
- Odd integers k such that 10^k - 1 - 10^((k-1)/2) is a prime of the form 9...989...9, called a palindromic wing prime or a near-repdigit palindromic prime.at n=3A077794