7192
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 7208
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- yes
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3360
- Möbius Function
- 0
- Radical
- 1798
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 119
- 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
- Primitive weird numbers: weird numbers with no proper weird divisors.at n=4A002975
- Number of key permutations of length n: permutations {a_i} with |a_i - a_{i-1}| = 1 or 2.at n=19A003274
- Weird numbers: abundant (A005101) but not pseudoperfect (A005835).at n=4A006037
- Molien series for cyclic group of order 5.at n=28A008646
- a(n) = floor(C(n,4)/5).at n=32A011795
- Numbers k such that phi(k + 12) | sigma(k) for k not congruent to 0 (mod 3).at n=28A015850
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite RON = Roggianite Ca16[Be8Al16Si32O104(OH)16].19H2O starting with a T3 atom.at n=14A019215
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly nine 1's.at n=24A020445
- a(n) = n*(15*n - 1)/2.at n=31A022272
- Expansion of (theta_3(z)*theta_3(9z)+theta_2(z)*theta_2(9z))^4.at n=32A028604
- Number of partitions of n into parts 4k+1 or 4k+2.at n=50A035365
- Coefficients of cluster series for site percolation problem on square lattice with 1st, 2nd and 3rd neighbor bonds.at n=5A036398
- a(n)=(s(n)+3)/10, where s(n)=n-th base 10 palindrome that starts with 7.at n=41A043086
- a(n) = T(n,5), array T as in A051168; a count of Lyndon words; aperiodic necklaces with 5 black beads and n-5 white beads.at n=28A051170
- Numbers m such that m divides sigma(m) - d(m).at n=3A056075
- Numbers k such that k^18 == 1 (mod 19^3).at n=19A056089
- Number of ways to sum numbers from 1 to n to the n-th prime.at n=19A067953
- One-sixtieth of the even leg of Pythagorean triangles whose other sides are both primes (other than 3, 5 or 13).at n=28A068485
- Duplicate of A056075.at n=3A070019
- Numbers k such that A072010(k) = k.at n=35A072011