10663
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10664
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10662
- Möbius Function
- -1
- Radical
- 10663
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- 1301
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Greatest k such that binomial(k,n) has fewer than n distinct prime factors.at n=36A005735
- Greatest k such that binomial(k,n) has fewer than n distinct prime factors.at n=38A005735
- Greatest k such that binomial(k,n) has fewer than n distinct prime factors.at n=37A005735
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 62 ones.at n=15A031830
- Numerators of continued fraction convergents to sqrt(157).at n=9A041288
- Difference between partial sums of partition numbers (A026905) and partial sums of numbers of partitions into distinct parts (A026906).at n=25A056870
- Numbers k such that 3*2^k - 5 is prime.at n=35A057912
- Numbers n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n.at n=10A063048
- a(n) = prime(2*n*(n+1)+1).at n=25A078746
- Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k.at n=11A088753
- Prime differences of tetranacci numbers.at n=21A113244
- Ramanujan numbers (A000594) read mod 16384.at n=24A126824
- Primes in A023108(n); or Lychrel primes.at n=22A135316
- Primes of the form 15x^2+88y^2.at n=39A140006
- Primes of the form 42x^2+42xy+43y^2.at n=37A140028
- Primes of the form 4x^2+4xy+463y^2.at n=39A140030
- Primes of the form 88x^2+32xy+127y^2.at n=19A140630
- Primes congruent to 7 mod 37.at n=40A142116
- Primes congruent to 3 mod 41.at n=36A142200
- Primes congruent to 42 mod 43.at n=29A142291