4999
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5000
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 4998
- Möbius Function
- -1
- Radical
- 4999
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 90
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 669
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T2 for Zeolite Code SGT.at n=44A008230
- Primes that contain digits 4 and 9 only.at n=2A020466
- Convolution of Lucas numbers and A000201.at n=12A023621
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=26A024844
- Primes p such that digits of p appear in p^2 and p^3.at n=29A030085
- Values of Newton-Gregory forward interpolating polynomial (1/6)*(4*n^4 - 60*n^3 + 347*n^2 - 927*n + 978).at n=13A030442
- 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 69.at n=23A031567
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 72 ones.at n=0A031840
- Primes of form x^2+86*y^2.at n=27A033255
- Trimorphic numbers: n^3 ends with n. Also m-morphic numbers for all m > 5 such that m-1 is not divisible by 10 and m == 3 (mod 4).at n=29A033819
- Number of partitions of n with equal nonzero number of parts congruent to each of 1, 2 and 3 (mod 5).at n=55A035588
- Smallest n-digit prime containing only the digits 4 and 9, or 0 if no such prime exists.at n=3A036945
- Matrix 5th power of partition triangle A008284.at n=46A039807
- Numerators of continued fraction convergents to sqrt(51).at n=3A041086
- Numerators of continued fraction convergents to sqrt(204).at n=7A041378
- Numerators of continued fraction convergents to sqrt(816).at n=7A042574
- Numbers having four 4's in base 5.at n=22A043368
- Numbers having three 9's in base 10.at n=4A043527
- Primes p such that p+4 and p+12 are also prime.at n=36A046137
- Smallest number whose digits sum to n-th prime.at n=10A046864