4726
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
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7560
- Proper Divisor Sum (Aliquot Sum)
- 2834
- 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
- 2208
- Möbius Function
- -1
- Radical
- 4726
- 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
- 59
- 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
- Numbers k such that 33*2^k - 1 is prime.at n=31A002240
- a(n) is the sum over all floor(k^3/n), k=0 to n inclusive.at n=25A014818
- Numbers k such that the continued fraction for sqrt(k) has period 58.at n=26A020397
- [ (4th elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ], where S(n) = {first n+3 positive integers congruent to 2 mod 3}.at n=3A024400
- Coordination sequence T1 for Zeolite Code MWW.at n=46A024986
- 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 68.at n=6A031566
- a(n) = n * prime(n).at n=33A033286
- Second 10-gonal (or decagonal) numbers: n*(4*n+3).at n=34A033954
- 3*n^2-2*n+6.at n=40A047915
- Numbers k such that 2*3^k - 5 is prime.at n=20A057910
- Number of binary arrangements without adjacent 1's on n X n staggered hexagonal torus bent for odd n.at n=4A066865
- Trajectory of n under the Reverse and Add! operation carried out in base 4 (presumably) does not reach a palindrome and (presumably) does not join the trajectory of any term m < n.at n=21A075421
- Numbers k such that phi(k-1) < phi(k) < phi(k+1), where phi is the Euler totient function (A000010).at n=41A078776
- a[n] =a[n-1] + 2*n*Prime[n]-n^2.at n=13A093809
- a(1) = 932; for n > 1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=16A105213
- Number of compositions of n into 4 parts such that no two adjacent parts are equal.at n=28A106353
- Triangle read by rows: T(n,k) is the number of Motzkin paths of length n and having k weak ascents (1 <= k <= ceiling(n/2)).at n=39A114690
- Numbers k such that 16*k+1, 16*k+3 and 16*k+13 are primes.at n=39A123992
- Where A124579 has two successive identical values.at n=47A124580
- a(n) = floor((Pi^2/6)^n).at n=17A125892