9847
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10120
- Proper Divisor Sum (Aliquot Sum)
- 273
- 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
- 9576
- Möbius Function
- 1
- Radical
- 9847
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 73
- 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
- Numbers k such that k^4 = x^3 + y^2 has an integer solution.at n=32A096741
- Cost of traversing complete tree of height n through splaying.at n=11A100624
- Products of two primes that are not Chen primes.at n=25A115719
- Let M(n) = maximal value of (n/k)^k over all k = 1, 2, ...; a(n) = ceiling(M(n)).at n=24A139078
- Partial sums of A000273.at n=5A173313
- Numbers k that are the products of two distinct primes such that 2*k-1, 4*k-3, 8*k-7 and 16*k-15 are also products of two distinct primes.at n=40A177213
- Numbers k that are the products of two distinct primes such that 2*k-1, 4*k-3, 8*k-7, 16*k-15 and 32*k-31 are also products of two distinct primes.at n=14A177214
- Number of partitions p of n not containing round((min(p) + max(p))/2) as a part.at n=34A238487
- Integers n such that A002110(n) is divisible by A098999(n).at n=40A264897
- a(n) = sum of a(n-4) and a(n-5), with the lowest possible initial values that will generate a sequence where a(n) is always > a(n-1): 4, 5, 6, 7 and 8.at n=50A321025
- Sum of the fourth largest parts of the partitions of n into 9 parts.at n=38A326470
- Counterexamples to a conjecture of Ramanujan about congruences related to the partition function.at n=16A340757
- Number of palindromes < 10^n whose squares are also palindromes.at n=35A343098
- Positions of the first n-bit number to appear in Van Eck's sequence (A181391).at n=13A358259