8753
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8754
- 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
- 8752
- Möbius Function
- -1
- Radical
- 8753
- 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
- 78
- 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
- 1092
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 9 positive 7th powers.at n=34A003376
- a(n) = floor( n*(n-1)*(n-2)/19 ).at n=56A011901
- cos(sin(arcsinh(x)))=1-1/2!*x^2+9/4!*x^4-201/6!*x^6+8753/8!*x^8...at n=4A012038
- E.g.f.: exp(sinh(arcsin(x)))=1+x+1/2!*x^2+3/3!*x^3+9/4!*x^4+41/5!*x^5...at n=8A012246
- Numbers k such that the continued fraction for sqrt(k) has period 45.at n=21A020384
- Number of partitions of n in which the least part is odd.at n=32A026804
- Primes that are palindromic in base 7.at n=29A029975
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 10.at n=10A031423
- Numbers whose set of base-7 digits is {3,4}.at n=40A032831
- Primes of the form k^2 + k + 11.at n=45A048059
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 4.at n=13A049962
- Primes with distinct digits in descending order.at n=44A052014
- Primes associated with A066042.at n=30A066146
- Primes p such that p-5 == 0 (mod phi(p-5)).at n=29A067557
- Class 6+ primes.at n=5A081634
- Gregorian calendar years with Ascension Day in April.at n=36A084427
- Numbers of the form prime(prime(n)+1), with n satisfying prime(n)+2 = prime(n+1).at n=39A088985
- a(n) = n-th prime of Erdős-Selfridge classification n+.at n=5A101253
- Positions of 9 in partition of decimal expansion of Pi A104807.at n=30A104809
- Primes with distinct digits appearing in partition of decimal expansion of Pi.at n=29A104820