4010
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7236
- Proper Divisor Sum (Aliquot Sum)
- 3226
- 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
- 1600
- Möbius Function
- -1
- Radical
- 4010
- Omega Function (Ω)
- 3
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 113
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = n*(n^2 + 1)/2.at n=20A006003
- Coordination sequence T3 for Zeolite Code BOG.at n=45A008051
- Numbers k such that 177*2^k+1 is prime.at n=39A032465
- Base-9 palindromes that start with 5.at n=15A043032
- Numbers k such that the string 1,0 occurs in the base 10 representation of k but not of k-1.at n=39A044342
- Numbers whose base-4 representation contains exactly four 2's and two 3's.at n=14A045155
- Numbers k that divide 9^k + 7^k.at n=12A045605
- 23-gonal numbers: a(n) = n(21n-19)/2.at n=20A051875
- Positions in decimal expansion of Pi where next prime begins.at n=25A053013
- Convolution triangle based on A001333(n), n >= 1.at n=40A054458
- Nonnegative numbers of form n*(n^2+-1)/2.at n=39A057587
- Numbers k such that sigma(k) + phi(k) is a perfect square.at n=43A062784
- a(n) = Sum_{d|n} sigma(d)^2.at n=37A065018
- Total number of odd parts in all partitions of n.at n=20A066897
- Multiples of 5 with digit sum 5.at n=19A069540
- a(n) = Sum_{d|n} sigma(n*d).at n=37A069546
- Interprimes which are of the form s*prime, s=10.at n=14A075285
- Least k such that the distance from k^2 to closest prime = n or zero if no k exists.at n=38A079666
- Numbers that have the same number of divisors as their digit reversal, but with different prime signatures.at n=33A087093
- Number of partitions of n such that the set of odd parts has only one element.at n=41A090868