4397
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4398
- 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
- 4396
- Möbius Function
- -1
- Radical
- 4397
- 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
- 33
- 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
- 599
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Representation degeneracies for boson strings.at n=36A005290
- Coordination sequence T1 for Scapolite.at n=42A008262
- Numbers k such that the continued fraction for sqrt(k) has period 33.at n=12A020372
- Numerator of sum_{p prime, p-1 divides 2*n} 1/p.at n=34A027761
- Primes that are palindromic in base 7.at n=16A029975
- Primes of form x^2+41*y^2.at n=29A033228
- Primes of form x^2+89*y^2.at n=21A033257
- Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k.at n=31A033548
- Primes with indices that are primes with prime indices.at n=28A038580
- Numerators of continued fraction convergents to sqrt(286).at n=5A041538
- Numerators of continued fraction convergents to sqrt(907).at n=6A042752
- Numbers whose base-4 representation has exactly 7 runs.at n=16A043598
- Numbers k such that number of runs in the base 4 representation of k is congruent to 1 mod 6.at n=34A043838
- Numbers n such that number of runs in the base 4 representation of n is congruent to 0 mod 7.at n=16A043843
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 8.at n=16A043857
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 9.at n=16A043865
- Numbers k such that the number of runs in the base-4 representation of k is congruent to 7 (mod 10).at n=16A043874
- Primes p such that pp'-2 is prime, where p' denotes the next prime after p.at n=22A048797
- Primes prime(k) for which A049076(k) = 4.at n=5A049080
- Primes for which A049076 >= 4.at n=9A049090