4642
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7632
- Proper Divisor Sum (Aliquot Sum)
- 2990
- 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
- 2100
- Möbius Function
- -1
- Radical
- 4642
- 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
- 33
- 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
- Number of permutations that are 3 "block reversals" away from 12...n.at n=4A007975
- Coordination sequence T1 for Keatite.at n=38A009844
- Coordination sequence T5 for Zeolite Code RUT.at n=45A009901
- Powers of cube root of 10 rounded to nearest integer.at n=11A018004
- Smallest number whose cube has n digits.at n=11A018005
- From George Gilbert's marks problem: jumping 6 marks at a time (initial positions).at n=21A019995
- Numbers k such that the continued fraction for sqrt(k) has period 46.at n=35A020385
- Integer part of ((4th elementary symmetric function of 2,3,...,n+4)/(2nd elementary symmetric function of 2,3,...,n+4)).at n=18A024181
- Least m such that if r and s in {1/2, 1/5, 1/8,..., 1/(3n-1)}, satisfy r < s, then r < k/m < s for some integer k.at n=44A024823
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=41A024840
- 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 68.at n=1A031566
- Numbers whose set of base-16 digits is {1,2}.at n=21A032936
- Multiplicity of highest weight (or singular) vectors associated with character chi_6 of Monster module.at n=42A034394
- Composite numbers k such that the digits of the prime factors of k are either 1 or 2.at n=34A036302
- Number of ordered rooted trees with n non-root nodes and all outdegrees <= five.at n=9A036767
- Numbers whose base-4 representation contains exactly three 0's and three 2's.at n=15A045055
- Floor( Pi * (3/2)^n ).at n=18A047625
- 1/2-Smith numbers.at n=27A050224
- Numbers n such that 275*2^n-1 is prime.at n=18A050896
- 22-gonal numbers: a(n) = n*(10*n-9).at n=22A051874