7753
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7754
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 7752
- Möbius Function
- -1
- Radical
- 7753
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 145
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 983
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Pentagonal numbers written backwards.at n=49A004163
- Random walks (binomial transform of A006054).at n=7A005021
- Coordination sequence for alpha-Mn, Position Mn3.at n=23A009952
- Numbers k such that the continued fraction for sqrt(k) has period 35.at n=17A020374
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 58.at n=0A031646
- Numbers having four 1's in base 8.at n=28A043428
- Pisot sequence L(5,6).at n=19A048583
- Pisot sequence L(6,8).at n=18A048586
- Primes at which the difference pattern X42Y (X and Y >= 6) occurs in A001223.at n=19A052164
- Expansion of (1-x)/(1-x-2*x^2+x^3).at n=17A052547
- Third term of strong prime 5-tuples: p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1).at n=20A054810
- First member of a prime triple in a p^2 + p - 1 progression.at n=34A057324
- Prime numbers with odd digits in descending order.at n=25A061245
- Primes with 10 as smallest positive primitive root.at n=21A061323
- a(n) = A064842(n)/2.at n=35A064843
- a(n)=sum(k=1,n,C(n,n reduced (mod k))).at n=13A072953
- List of codewords in binary lexicode with Hamming distance 5 written as decimal numbers.at n=28A075931
- Class 5+ primes (for definition see A005105).at n=36A081633
- Smaller of a pair of consecutive primes having only prime digits.at n=11A082755
- a(1) = 1, a(2) = 2 and a(n) = smallest number not included earlier that divides the concatenation a(n-2), a(n-1).at n=36A085946