4471
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4752
- Proper Divisor Sum (Aliquot Sum)
- 281
- 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
- 4192
- Möbius Function
- 1
- Radical
- 4471
- 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
- 46
- 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 T6 for Zeolite Code MEL.at n=43A008155
- exp(tan(x)-arcsinh(x)) = 1+3/3!*x^3+7/5!*x^5+90/6!*x^6+497/7!*x^7...at n=9A013450
- Super-3 Numbers (3n^3 contains substring '333' in its decimal expansion).at n=37A014569
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11).at n=33A017833
- a(n) = n*(31*n-1)/2.at n=17A022288
- Convolution of the lower and upper Wythoff sequences (A000201 and A001950).at n=17A023664
- Every run of digits of n in base 16 has length 2.at n=21A033014
- Numbers whose base-16 expansion has no run of digits with length < 2.at n=37A033029
- Odd k for which k+2^m is composite for all m < k.at n=3A033919
- Number of partitions satisfying 0 < cn(1,5) + cn(2,5) + cn(3,5) and 0 < cn(4,5) + cn(2,5) + cn(3,5).at n=29A039901
- Positive integers having more base-16 runs of even length than odd.at n=22A044842
- Numbers whose base-4 representation contains exactly four 1's and two 3's.at n=16A045131
- a(n) = 4*a(n-1) - a(n-2), a(0)=1, a(1)=6.at n=6A054491
- Numbers k such that 80*R_k + 9 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=5A056663
- Numbers k such that k^2 has property that the sum of its digits and the product of its digits are nonzero squares.at n=46A061268
- Positive numbers whose product of digits is 7 times their sum.at n=18A062384
- Numbers k such that A048138(k) is a prime and sets a new record for such primes.at n=22A064440
- Semiprimes p1*p2 such that p2 > p1 and p2 mod p1 = 8.at n=24A064906
- Combined Diophantine Chebyshev sequences A054491 and A077234.at n=12A077237
- Sum of smallest parts (counted with multiplicity) of all partitions of n into odd parts.at n=34A092313