3738
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 8640
- Proper Divisor Sum (Aliquot Sum)
- 4902
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1056
- Möbius Function
- 1
- Radical
- 3738
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 87
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- a(n) = n concatenated with n + 1.at n=36A001704
- a(n) = 1000*log(n) rounded to the nearest integer.at n=41A004241
- Numbers k such that k^64 + 1 is prime.at n=38A006316
- Coordination sequence T2 for Zeolite Code MTW.at n=40A008197
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11).at n=47A017851
- a(n) = n*(17*n - 1)/2.at n=21A022274
- Number of polyhexes of class PF2 with symmetry point group C_s.at n=6A030532
- Pair up the numbers.at n=18A030655
- a(n) = n*(2*n+5).at n=42A033537
- Concatenation of two or more consecutive positive integers.at n=46A035333
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+1 or 20k-1. Also number of partitions in which no odd part is repeated, with no part of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=53A036024
- Concatenate prevprime(n) and n.at n=35A049851
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,27.at n=3A064250
- a(2n) = concatenation of 4n+1 and 4n+2, a(2n+1) = concatenation of the two most nearly equal numbers whose product is a(2n).at n=18A068517
- a(1)=1, a(n) = Sum_{k=1..n-1} min(a(k), a(n-k)).at n=52A075535
- Partition the concatenation 1234567...of natural numbers into successive strings which are even, all different and > 2. (0 never taken as the most significant digit.)at n=22A077295
- Partition the concatenation 1234567... of natural numbers into successive strings which are multiples of 3 all different and > 3. (0 never taken as the most significant digit.)at n=22A077296
- Partition the concatenation 1234567...of natural numbers into successive strings which are multiples of 6, all different and > 6. (0 never taken as the most significant digit.)at n=14A077299
- a(n) = 101*n + 1.at n=37A078787
- a(n) = n-th multiple of n with digit sum n.at n=20A082260