4747
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
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4896
- Proper Divisor Sum (Aliquot Sum)
- 149
- 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
- 4600
- Möbius Function
- 1
- Radical
- 4747
- 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
- yes
- 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
- Numbers k such that sigma(k) = sigma(k+10).at n=14A015880
- Expansion of 1/((1-5x)(1-8x)(1-10x)).at n=3A020346
- Inverse binomial transform of {1, primes}.at n=15A030016
- Exactly 5 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a prime.at n=40A032695
- Numbers whose set of base-13 digits is {1,2}.at n=27A032933
- Number of asymmetric polygonal cacti with bridges (mixed Husimi trees).at n=13A035356
- Numbers whose base-5 representation contains exactly three 2's and two 4's.at n=12A045291
- Values of n such that 90n+11, 90n+13, 90n+17, 90n+19 are all primes.at n=30A051897
- Coordination sequence T2 for Zeolite Code MTF.at n=41A057305
- McKay-Thompson series of class 45b for Monster.at n=46A058686
- a(1) = 4; a(n) = smallest composite number of the form k*a(n-1) + 1.at n=41A061766
- Semiprimes p1*p2 such that p2>p1 and p2 mod p1 = 7.at n=22A064905
- Smallest multiple of n not equal to n ending in (digits of) n.at n=46A075559
- Smallest multiple of n other than n using only the digits of n (no limit on frequency).at n=46A078273
- Expansion of Molien series for a certain 4-D group of order 48.at n=43A078411
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=3, r=3, I={0,1,2}.at n=20A079988
- Concatenate n and the sum of primes dividing n (counting multiplicity).at n=46A109958
- Expansion of q / (chi(-q) * chi(-q^3) * chi(-q^5) * chi(-q^15)) in powers of q where chi() is a Ramanujan theta function.at n=35A123632
- Triangle read by rows: T(n,k) is the number of ordered trees with n edges having k odd-length branches starting at the root (0<=k<=n).at n=66A127538
- Number of ordered trees with n edges having no odd-length branches starting at the root.at n=11A127539