7383
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
- 8
- Divisor Sum
- 10368
- Proper Divisor Sum (Aliquot Sum)
- 2985
- 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
- 4664
- Möbius Function
- -1
- Radical
- 7383
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 70
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = n*(7*n - 1)/2.at n=46A022264
- Numbers whose set of base-12 digits is {3,4}.at n=22A032836
- Numbers whose set of base-9 digits is {1,3}.at n=31A032916
- Numbers whose maximal base-9 run length is 4.at n=11A037999
- Numbers having four 1's in base 9.at n=6A043460
- Least positive integer coefficients of power series A(x) such that the coefficients of A(x)^2 + A(x) - 1 consist entirely of squares.at n=75A083352
- a(n) = -1/16-3*n^2/8+17*n/12+n^3/12+(-1)^n/16.at n=45A088795
- Natural numbers written out with their digits grouped in sets of four (leading zeros omitted).at n=16A091332
- Numbers k such that 4*k-1, 8*k-1 and 16*k-1 are all primes.at n=40A101790
- Concatenations of pairs of primes that differ by 10.at n=8A104719
- Denominators of rational points on x^4+y^4+z^4=2 not satisfying z=x+y.at n=1A121995
- 3 times centered triangular numbers: 9*n*(n+1)/2 + 3.at n=40A164013
- Integers of the form 4n+3 for which Sum_{i=1..u} J(i,4n+3) obtains value zero exactly 9 times, when u ranges from 1 to (4n+3). Here J(i,k) is the Jacobi symbol.at n=22A166059
- Expansion of g.f. (1/2)*( a*(1+x)^n + b*(1-x)^(n+2)*LerchPhi(x, -n-1, 1) + c*2^(n+1)*(1-x)^(n+1)*LerchPhi(x, -n, 1/2) ), where a = 31, b = -59, and c = 15, read by rows.at n=22A168549
- Expansion of g.f. (1/2)*( a*(1+x)^n + b*(1-x)^(n+2)*LerchPhi(x, -n-1, 1) + c*2^(n+1)*(1-x)^(n+1)*LerchPhi(x, -n, 1/2) ), where a = 31, b = -59, and c = 15, read by rows.at n=26A168549
- Integers n such that 4*prime(n)-+3 are nonconsecutive primes.at n=41A173487
- 0-sequence of reduction of the lower Wythoff sequence by x^2 -> x+1.at n=13A192300
- a(n) = n*(14*n - 1).at n=23A195024
- Partial sums of 3-almost primes which are again 3-almost primes, i.e., have exactly 3 not necessarily distinct prime factors.at n=14A217018
- Start of a triple of consecutive squarefree numbers each of which has exactly 3 distinct prime factors.at n=44A242606