4646
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
- 8
- Divisor Sum
- 7344
- Proper Divisor Sum (Aliquot Sum)
- 2698
- 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
- 2200
- Möbius Function
- -1
- Radical
- 4646
- 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
- 183
- 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 ways in which n identical balls can be distributed among 4 boxes in a row such that each pair of adjacent boxes contains at least 4 balls.at n=22A005337
- Coordination sequence T7 for Zeolite Code TER.at n=46A016439
- Doublets: base-10 representation is the juxtaposition of two identical strings.at n=45A020338
- Expansion of g.f. 1/((1-x)*(1-2*x)*(1-7*x)*(1-12*x)).at n=3A021254
- a(n) = a(n-1) + a(n-2) + 1 for n>1, a(0)=0, a(1)=1.at n=15A022311
- Character of extremal vertex operator algebra of rank 23.at n=3A028551
- "CFK" (necklace, size, unlabeled) transform of 1,3,5,7...at n=12A032142
- Coordination sequence T5 for Zeolite Code CFI.at n=45A033603
- Number of partitions of n with equal nonzero number of parts congruent to each of 2 and 3 (mod 4).at n=40A035551
- Digits composite, each digit minus 1 is prime, sum of digits minus 1 is prime, difference of digits (in absolute value) minus 1 is prime.at n=21A058229
- Numbers k such that (k+3, k+5, k+17, k+257, k+65537) are all primes.at n=10A063799
- Numbers n such that phi(n) = phi(n-1) - phi(n-2).at n=7A066231
- Expansion of (1+x^2)/((1-x)^2*(1-x^2)^2*(1-x^3)^2*(1-x^8)*(1-x^9)*(1-x^10)).at n=19A069956
- Numbers k such that sigma(sigma(k) - k) = phi(sigma(k) + k).at n=6A074886
- Numbers m = d_1 d_2 ... d_k (in base 10) with properties that k is even and d_i + d_{k+1-i} = 10 for all i.at n=41A083678
- Numbers k such that bigomega(k!)/omega(k!) is an integer.at n=41A088533
- a(n) = {A089713(n)+A070219(n)}/2.at n=43A089715
- Expansion of 1 / (chi(-x) * chi(-x^7)) in powers of x where chi() is a Ramanujan theta function.at n=47A093950
- Slowest increasing sequence where the first pair of digits sums to 10, the next pair also does and so on.at n=43A098791
- Numbers n such that every digit of n and n-th prime contains a loop (only digits 0,4,6,8,9 in n and n-th prime).at n=4A107624