7271
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7944
- Proper Divisor Sum (Aliquot Sum)
- 673
- 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
- 6600
- Möbius Function
- 1
- Radical
- 7271
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 163
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Positive integers n such that 2^n == 2^11 (mod n).at n=69A015935
- Expansion of 1/((1-2x)(1-5x)(1-8x)(1-12x)).at n=3A026006
- Composite numbers whose prime factors contain no digits other than 1 and 6.at n=4A036306
- Number of partitions satisfying (cn(0,5) <= cn(2,5) = cn(3,5) and cn(2,5) <= cn(1,5) and cn(2,5) <= cn(4,5)).at n=49A036816
- Gaps of 2 in sequence A038593 (lower terms).at n=11A038643
- Numbers ending with '1' that are the difference of two positive cubes.at n=29A038856
- Arithmetic mean of first n terms of A001414 is an integer.at n=10A065131
- Sum of terms of n-th row of A077321.at n=10A077324
- a(n) = n*(n^3 - n + 2)/2.at n=11A101374
- Numbers n such that googol - n is prime.at n=25A108251
- Numbers n such that n and its digit reversal R(n) both are difference of positive cubes.at n=14A109879
- a(n) = (p-1)! mod p^2 where p = n-th prime.at n=25A112660
- Numbers k such that prime(k) - k and prime(k) + k are palindromes.at n=6A115901
- Number of edges in the n-th Mycielski graph.at n=9A122695
- Least positive power of 3 having exactly n consecutive 1's in its decimal representation.at n=6A131552
- Negative values of the inverse binomial transform of A045883.at n=16A140962
- Numbers n such that 10^n*(7+3*10^n)+3 is prime.at n=13A171655
- Number of rhombi on an n X n grid (or geoboard).at n=13A189418
- Inverse permutation to A190134.at n=5A190135
- Number of nX1 0..1 arrays with exactly floor(nX1/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order.at n=18A222283