7973
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9792
- Proper Divisor Sum (Aliquot Sum)
- 1819
- 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
- 6336
- Möbius Function
- -1
- Radical
- 7973
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 52
- 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) = a(n-1) + a(n-7), with a(i) = 1 for i = 0..6.at n=43A005709
- List of pairs of primes in reverse order.at n=10A007797
- Expansion of 1/(1 - x^7 - x^8 - ...).at n=50A017901
- "DIJ" (bracelet, indistinct, labeled) transform of 2,1,1,1,...at n=6A032267
- Expansion of (3+2*x^2)/(1-x)^4.at n=20A037236
- Numbers ending with '3' that are the difference of two positive cubes.at n=19A038858
- Numbers which, when expressed as a sum of distinct primes with maximum product, use a non-maximal number of primes.at n=32A053020
- Numbers k such that 7*2^k + 5 is prime.at n=20A058595
- Numbers n such that the partition function A000041(k) is even and odd the same number of times for 0 <= k <= n.at n=11A098936
- G.f. satisfies: A(x) = 1/(1 + x*A(x^7)) and also the continued fraction: 1 + x*A(x^8) = [1; 1/x, 1/x^7, 1/x^49, 1/x^343, ..., 1/x^(7^(n-1)), ...].at n=44A101917
- Numbers n such that 2*10^n + 8*R_n - 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=9A102962
- Positions of 10 in A104807.at n=4A104808
- a(1) = 335; a(n) is the smallest k > a(n-1) such that k*A002110(n)^30 - 1 is prime.at n=34A119760
- Start with i=1 and j=2. Concatenate i and j, get k = floor(ij/j), concatenate j and k, etc.at n=20A127320
- a(n) = 144*n^2 - 161*n + 45.at n=7A156711
- Products of 3 distinct non-Sophie Germain primes.at n=27A157347
- Exactly 10 consecutive odd integers starting with n are composite.at n=41A162023
- Number of 0..6 arrays x(0..n+1) of n+2 elements without any interior element greater than both neighbors or less than both neighbors.at n=3A200869
- T(n,k)=Number of 0..k arrays x(0..n+1) of n+2 elements without any interior element greater than both neighbors or less than both neighbors.at n=39A200871
- Number of 0..n arrays x(0..5) of 6 elements without any interior element greater than both neighbors or less than both neighbors.at n=5A200874