4632
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 11640
- Proper Divisor Sum (Aliquot Sum)
- 7008
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1536
- Möbius Function
- 0
- Radical
- 1158
- Omega Function (Ω)
- 5
- 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
- no
- 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 different ways one can attack all squares on an n X n chessboard using the minimum number of queens.at n=13A002564
- Numbers that are the sum of 6 positive 7th powers.at n=15A003373
- Coordination sequence for hexagonal close-packing.at n=21A007899
- Coordination sequence T2 for Scapolite.at n=43A008263
- Coordination sequence for tridymite, lonsdaleite, and wurtzite.at n=42A008264
- If a, b in sequence, so is ab+8.at n=23A009331
- "Pascal sweep" for k=9: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1).at n=41A009540
- Coordination sequence T4 for Zeolite Code RSN.at n=44A009888
- Coordination sequence for alpha-Nd, Position Nd1.at n=21A009948
- 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 17.at n=29A031515
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 17.at n=3A031695
- Base 6 digital convolution sequence.at n=10A033643
- Number of partitions of n with equal nonzero number of parts congruent to each of 1, 3 and 4 (mod 5).at n=54A035590
- Coordination sequence T5 for Zeolite Code STF.at n=45A038440
- Coordination sequence T2 for Zeolite Code DON.at n=46A047954
- Local ranks of terms of A057122.at n=36A057124
- a(1) = 1; for n > 1, a(n) = smallest number > a(n-1) having exactly n divisors.at n=15A069654
- Rounded volume of a regular tetrahedron with edge length n.at n=34A071399
- Numbers n such that A005185(n) divides n.at n=46A076267
- Least k such that decimal representation of k*n contains only digits 0 and 8.at n=18A096687