3598
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6192
- Proper Divisor Sum (Aliquot Sum)
- 2594
- 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
- 1536
- Möbius Function
- -1
- Radical
- 3598
- 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
- 69
- 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
- yes
- Odd
- no
Appears in sequences
- a(1) = 3; for n>0, a(n+1) = a(n) + floor((a(n)-1)/2).at n=19A003312
- Expansion of 1/(1-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14).at n=50A017863
- a(n) = floor( Gamma(n+7/8)/Gamma(7/8) ).at n=7A020070
- First row of spectral array W(sqrt(3)).at n=19A022159
- a(n) = prime(n)*prime(n-1) - 1.at n=17A023515
- Coordination sequence T3 for Zeolite Code ITE.at n=41A027371
- 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 58.at n=18A031556
- Schoenheim bound L_1(n,6,5).at n=15A036833
- Denominators of continued fraction convergents to sqrt(640).at n=8A042229
- Numbers whose base-7 representation contains exactly three 3's.at n=33A043407
- Numbers n such that string 9,8 occurs in the base 10 representation of n but not of n-1.at n=38A044430
- Numbers n such that string 9,8 occurs in the base 10 representation of n but not of n+1.at n=38A044811
- Starting from generation 8 add previous and next term yielding generation 9.at n=5A048455
- Composite numbers k such that sigma(k + 6!) = sigma(k + 720) = sigma(k) + 720.at n=31A054984
- Sixth column of triangle A055584.at n=5A055586
- Number of right triangles of a given area required to form successively larger squares.at n=29A060626
- Write 0, 1, 2, 3, 4, ... in a triangular spiral, then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0, 7, ...at n=28A062725
- Number of partitions of n with nonnegative crank.at n=31A064428
- Numbers k such that S(k+2) = d(k)+2, where S(k) is the Kempner function (A002034) and d(k) is the number of divisors of k (A000005).at n=25A073535
- Sum of terms of n-th group in A075383.at n=13A075386