4986
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10842
- Proper Divisor Sum (Aliquot Sum)
- 5856
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1656
- Möbius Function
- 0
- Radical
- 1662
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 134
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- a(n+1) = 1 + a( floor(n/1) ) + a( floor(n/2) ) + ... + a( floor(n/n) ).at n=33A003318
- Aliquot sequence starting at 660.at n=4A014362
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12).at n=33A017834
- Powers of fourth root of 3 rounded up.at n=31A018053
- Numbers k such that the continued fraction for sqrt(k) has period 48.at n=40A020387
- Size of lexicographic code of length n, Hamming distance 8 and weight 8.at n=36A030069
- Number of proper factorizations of p1^n*p2^7, where p1 and p2 are distinct primes.at n=8A031130
- Starting index of a string of exactly 3 consecutive equal digits in decimal expansion of Pi.at n=35A049519
- Starting positions of strings of 2 8's in the decimal expansion of Pi.at n=39A050263
- Sum of a(n) terms of 1/k^(9/10) first exceeds n.at n=14A056186
- Expansion of e.g.f.: ((1-x)/(1-2*x))*exp(x/(1-x)).at n=5A059115
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,21.at n=11A064247
- Expansion of (1 + x)*(1 - x + x^2)/((1 - x)^4*(1 + x + x^2)).at n=34A070333
- a(n) = smallest k such that the digit sum of 8k is n.at n=36A077495
- E.g.f. exp( x/(1 - x - x^2) ) / (1 - x - x^2).at n=5A080834
- Smallest number which requires n iterations to reach a prime when iterating x + sum of squares of digits of x.at n=41A094658
- Sum of largest parts (counted with multiplicity) in all compositions of n.at n=10A097976
- Expansion of b(q^2) * c(q^6) / (b(q) * c(q^3)) in powers of q where b(), c() are cubic AGM theta functions.at n=19A123629
- Expansion of c(q^4) / c(q) in powers of q where c() is a cubic AGM theta function.at n=39A123649
- Number of unlabeled connected bi-point-determining graphs (see A129583).at n=7A129586