9947
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12000
- Proper Divisor Sum (Aliquot Sum)
- 2053
- 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
- 8232
- Möbius Function
- 0
- Radical
- 203
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 135
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- a(2*n) = floor( 17*2^n/14 ), a(2*n+1) = floor( 12*2^n/7 ).at n=26A003143
- Numbers k such that k | 6^k + 1.at n=10A015953
- Numbers k such that k | 13^k + 1.at n=24A015963
- Numbers whose maximal base-8 run length is 4.at n=30A037995
- Numbers having four 3's in base 8.at n=2A043436
- Numbers n such that 213*2^n-1 is prime.at n=30A050858
- Smallest number m larger than prime(n) such that prime(n) = sum of digits of m and prime(n) = largest prime factor of m (or 0 if no such number exists).at n=8A052022
- Numbers k such that Euler phi(k) / Carmichael lambda(k) = 14.at n=21A066696
- Numbers k such that sigma(k) divides sigma(phi(k)).at n=34A066831
- Numbers n such that sigma(phi(n))/sigma(n) = 2.at n=23A067382
- Numbers n such that sopf(phi(n)) = phi(sopf(n)), where sopf(x) = sum of the distinct prime factors of x.at n=33A076531
- Odd numbers n such that there exists a solution to lcm(s,z-s) = n, lcm(t,z-t) = n-2 and 0 < s+t < z < n.at n=32A108157
- Number of non-squashing partitions of {1,...,n}.at n=10A115626
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n having k UU's starting at level 0 (i.e., doublerises at level 1; n >= 0, 0 <= k <= floor(n/2)).at n=27A129168
- Numbers of the form 49*k, where 49*k+2 and 49*k-6 are both prime.at n=4A153779
- Positive numbers y such that y^2 is of the form x^2+(x+343)^2 with integer x.at n=17A157246
- a(n) = (7*n^5+5*n^3)/12.at n=7A245380
- a(n) = n*(25*n - 39)/2.at n=29A263231
- Numbers k such that k![14]-2 is prime, where k![14] is the fourteen-fold multifactorial.at n=51A284190
- Numbers m such that there are precisely 17 groups of order m.at n=3A294949