4027
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4028
- 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
- 4026
- Möbius Function
- -1
- Radical
- 4027
- 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
- 69
- 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
- 557
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=38A001133
- A self-generating sequence: every positive integer occurs as a(i)-a(j) for a unique pair i,j.at n=19A001856
- From relations between Siegel theta series.at n=48A006476
- Coordination sequence T5 for Zeolite Code BOG.at n=45A008053
- Coordination sequence T1 for Zeolite Code LEV.at n=47A008127
- Coordination sequence T4 for Zeolite Code LTN.at n=44A008143
- Coordination sequence T1 for Zeolite Code ATO.at n=42A008265
- Coordination sequence T2 for Zeolite Code VNI.at n=39A009908
- Number of ordered triples of integers from [ 1..n ] with no global factor.at n=29A015631
- Smallest prime in Goldbach partition of A025018(n).at n=49A025019
- Numbers having period-1 5-digitized sequences.at n=43A031187
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 63.at n=4A031561
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 38 ones.at n=9A031806
- "BGJ" (reversible, element, labeled) transform of 0,1,1,1...at n=9A032051
- Number of n-node rooted trees of height at most 6.at n=12A034823
- First differences give (essentially) A028242.at n=32A035107
- Numbers whose base-4 representation contains exactly two 2's and four 3's.at n=10A045147
- Numbers whose base-5 representation contains exactly three 1's and two 2's.at n=30A045231
- Primes with first digit 4.at n=26A045710
- Discriminants of imaginary quadratic fields with class number 9 (negated).at n=18A046006