4463
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4464
- 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
- 4462
- Möbius Function
- -1
- Radical
- 4463
- 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
- 46
- 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
- 607
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime == 7 (mod 8) where Q(sqrt(-p)) has class number 2n+1.at n=27A002146
- Coordination sequence T1 for Zeolite Code -PAR.at n=47A009855
- Coordination sequence T5 for Zeolite Code VNI.at n=41A009911
- Primes that remain prime through 3 iterations of function f(x) = 9x + 2.at n=18A023296
- 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 65.at n=20A031563
- Lower prime of a difference of 18 between consecutive primes.at n=14A031936
- From a Dirichlet series.at n=11A035209
- Numbers whose sum of reciprocals of digits is the reciprocal of an integer.at n=45A037264
- Sum of reciprocals of digits = 1.at n=27A037268
- Number of partitions satisfying 0 < cn(0,5) + cn(2,5) + cn(3,5).at n=29A039899
- Primes p such that x^23 = 2 has no solution mod p.at n=28A040984
- Primes p such that pp'-2 is prime, where p' denotes the next prime after p.at n=23A048797
- Number of step shifted (decimated) sequence structures using exactly two different symbols.at n=15A056396
- Smallest odd prime p such that Q(sqrt(-p)) has class number 2n+1.at n=27A060651
- Harmonic mean of digits is 4.at n=29A062182
- Numbers k such that 12^k - 11^k is prime.at n=6A062578
- The first of two consecutive primes with equal digital sums.at n=10A066540
- Number of incongruent ways to tile a 4 X n room with 1 X 2 Tatami mats. At most 3 Tatami mats may meet at a point.at n=50A068929
- Numbers k such that the simple continued fraction for (1+1/k)^k contains k.at n=42A071527
- Primes for which the three closest primes are smaller.at n=31A074982