10746
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 24000
- Proper Divisor Sum (Aliquot Sum)
- 13254
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3564
- Möbius Function
- 0
- Radical
- 1194
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- 99
- 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
- yes
- Odd
- no
Appears in sequences
- Aliquot sequence starting at 138.at n=11A008888
- Aliquot sequence starting at 150.at n=10A008889
- Aliquot sequence starting at 168.at n=8A008890
- Triangle of the cube of the normalized, unsigned Stirling matrix of the first kind.at n=6A027478
- First column of Triangle A027478, constructed from Stirling numbers of the first kind.at n=3A027489
- "DFK" (bracelet, size, unlabeled) transform of 2,2,2,2...at n=22A032214
- 19-gonal (or enneadecagonal) numbers: n(17n-15)/2.at n=36A051871
- Number of objects generated by the Combstruct grammar defined in the Maple program. See the link for the grammar specification.at n=8A052893
- Number of trees with n nodes and 4 leaves.at n=35A055291
- 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=16A063048
- Generalized Catalan numbers C(5; n).at n=5A064088
- Triangle composed of generalized Catalan numbers.at n=60A064094
- Sixth diagonal of triangle A064094.at n=5A064302
- Convolution of odd primes with themselves.at n=17A084370
- 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=17A088753
- a(n) = smallest k such that the Reverse and Add! trajectory of A063048(n) joins the trajectory of k.at n=16A089493
- Number of numbers with 6 decimal digits and sum of digits = n.at n=14A090581
- Number of numbers with 6 decimal digits and sum of digits = n.at n=39A090581
- Least multiple of prime(n) ending in digits of n.at n=42A114012
- Smallest number m such that A114228(m) = n.at n=39A114229