4709
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5004
- Proper Divisor Sum (Aliquot Sum)
- 295
- 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
- 4416
- Möbius Function
- 1
- Radical
- 4709
- 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
- 33
- 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
- Number of symmetric plane partitions of n.at n=31A005987
- Apply partial sum operator twice to binary rooted tree numbers.at n=13A014168
- Numbers k such that the continued fraction for sqrt(k) has period 33.at n=14A020372
- Coordination sequence T6 for Zeolite Code MWW.at n=45A024991
- Number of partitions of n into parts not of the form 15k, 15k+2 or 15k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 6 are greater than 1.at n=35A035956
- Numbers whose base-4 representation contains exactly four 1's and two 2's.at n=23A045107
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 9.at n=12A051974
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(17)).at n=47A052479
- a(n) = (Sum of the first n primes) + n.at n=47A060939
- Composite and every divisor (except 1) contains the digit 7.at n=17A062676
- Integers n > 196 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 196.at n=38A063049
- Semiprimes p1*p2 such that p2 > p1 and p2 mod p1 = 5.at n=39A064903
- Number of polyiamonds with 2n cells that tile the plane both by translation and by 180-degree rotation (Conway criterion).at n=8A075218
- Numbers k such that (10^k - 1)/3 + 2*10^floor(k/2) is a palindromic wing prime (a.k.a. near-repdigit palindromic prime).at n=11A077784
- a(n) = n * prime(prime(n)).at n=16A080697
- a(n) = row sum of triangle whose n-th row begins with n and contains n-1 smallest numbers coprime to n and greater than n.at n=41A081501
- Antidiagonal sums of A086272 (and of A086273).at n=16A086274
- a(n) = 10*n^2 - 6*n + 1.at n=21A087348
- Row sums of A095167.at n=16A095170
- Expansion of (1-x)^2/((1-x)^3-2x^4).at n=14A097119