4285
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5148
- Proper Divisor Sum (Aliquot Sum)
- 863
- 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
- 3424
- Möbius Function
- 1
- Radical
- 4285
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 170
- 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 the continued fraction for sqrt(k) has period 45.at n=11A020384
- Number of partitions of n into prime power parts (1 excluded).at n=46A023894
- 4th elementary symmetric function of {1, p(1), p(2), ..., p(n-1)}, where p(0) = 1.at n=2A024524
- 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 6.at n=14A031419
- Lucky numbers with size of gaps equal to 16 (upper terms).at n=15A031899
- Numbers with exactly five distinct base-8 digits.at n=18A031985
- Multiplicity of highest weight (or singular) vectors associated with character chi_93 of Monster module.at n=35A034481
- Smallest of three consecutive squarefree numbers k, k+1, k+2 of the form p*q where p and q are distinct primes.at n=42A039833
- Starting positions of strings of 2 8's in the decimal expansion of Pi.at n=33A050263
- INVERTi transform of A000081 = [1, 2, 4, 9, 20, 48, 115, 286, 719, 1842, 4766, 12486,...].at n=12A051573
- Number of independent sets of vertices in graph K_3 X C_n (n > 2).at n=7A051928
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 17.at n=3A051982
- Triangle T(n,k) (n >= 1, k >= 1) giving filtration of bigrading of Hopf algebra of rooted trees.at n=66A052253
- Numbers k such that k, k+1 and k+2 are products of two primes.at n=44A056809
- Number of compositions (ordered partitions) of n into 1's, 3's and 5's.at n=20A060961
- Composite and every divisor (except 1) contains the digit 5.at n=36A062672
- Array defined in A064643 read from left to right (cf. A107783).at n=25A064644
- Trajectory of n under the Reverse and Add! operation carried out in base 2 does not reach a palindrome and (presumably) does not join the trajectory of any term m < n.at n=23A075252
- Length of period of continued fraction for square root of 1+n!.at n=10A078145
- Convolution of natural numbers >= 2 and the partition numbers (A000041).at n=16A082775