4735
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5688
- Proper Divisor Sum (Aliquot Sum)
- 953
- 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
- 3784
- Möbius Function
- 1
- Radical
- 4735
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 152
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T4 for Zeolite Code HEU.at n=45A008119
- Molien series for A_5.at n=48A008628
- a(n) = floor( n*(n-1)*(n-2)/28 ).at n=52A011910
- Numbers k such that the continued fraction for sqrt(k) has period 52.at n=25A020391
- Position of numbers of form 3*n^2 in A025060 (numbers of form j*k + k*i + i*j, where 1 <=i < j < k).at n=36A025064
- 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 13.at n=39A031511
- Decimal part of a(n)^(1/7) starts with n so that a(n) < a(n+1).at n=35A034072
- Multiplicity of highest weight (or singular) vectors associated with character chi_116 of Monster module.at n=37A034504
- Sum of first n primes of form 4k+1.at n=30A038346
- Partial sums of primes congruent to 1 mod 6.at n=30A038349
- Denominators of continued fraction convergents to sqrt(285).at n=6A041537
- Number of 2n-bead black-white reversible necklaces with n black beads and fundamental period 2n.at n=10A045628
- Number of simple unlabeled n-node graphs of connectivity 2.at n=7A052443
- Expansion of (1-x)(1+x)/(1 - x - x^2 - x^3 + x^5).at n=16A052977
- Composite numbers k for which phi(k) + sigma(k) is an integer multiple of the 4th power of the number of divisors of k.at n=20A055468
- Number of wide partitions of n.at n=41A070830
- Final terms of rows in A077341.at n=46A077343
- a(1)=1, a(n)=ceiling(n/(n+1)*sum(k=1,n-1,a(k))).at n=14A082423
- a(n) = 5*(n^2 - n + 2)/2.at n=44A082450
- a(n) = floor[geometric mean of first n factorials].at n=11A090901