4729
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4730
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 4728
- Möbius Function
- -1
- Radical
- 4729
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 59
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 638
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=33A001136
- a(n) = 5*a(n-1) - a(n-2), with a(0) = 1 and a(1) = 2.at n=6A002310
- Coordination sequence T3 for Zeolite Code STI.at n=47A008236
- Coordination sequence T2 for Moganite, also for BGB1.at n=44A008259
- Coordination sequence T8 for Zeolite Code TER.at n=46A016440
- Numbers k such that the continued fraction for sqrt(k) has period 43.at n=10A020382
- Convolution of A023532 and (F(2), F(3), F(4), ...).at n=16A023600
- Numbers whose least quadratic nonresidue (A020649) is 11.at n=27A025024
- Number of connected functions on n points with a loop of length 8.at n=7A029871
- First differences give (essentially) A028242.at n=34A035107
- Number of partitions of n into parts not of the form 23k, 23k+11 or 23k-11. Also number of partitions with at most 10 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=30A035999
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+7 or 24k-7. Also number of partitions in which no odd part is repeated, with at most 3 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=42A036032
- Number of partitions satisfying cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5).at n=31A039838
- Denominators of continued fraction convergents to sqrt(321).at n=6A041607
- Numbers having four 1's in base 8.at n=16A043428
- Sizes of successive balls in D_4 lattice.at n=21A046949
- Euclid-Mullin sequence (A000945) with initial value a(1)=11 instead of a(1)=2.at n=28A051309
- Primes base 10 that remain primes in five bases b, 2<=b<=10, expansions interpreted as decimal numbers.at n=21A052029
- a(n)=[A*a(n-1)+B*a(n-2)+C]/p^r, where p^r is the highest power of p dividing [A*a(n-1)+B*a(n-2)+C], A=1.0001, B=1.0001, C=1.5, p=2.at n=41A053522
- Prime number spiral (clockwise, North spoke).at n=13A054551