10015
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12024
- Proper Divisor Sum (Aliquot Sum)
- 2009
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8008
- Möbius Function
- 1
- Radical
- 10015
- 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
- 65
- 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
- Positive numbers k such that k and 5*k are anagrams in base 8 (written in base 8).at n=3A023076
- a(n) = A048141(3*n).at n=48A051061
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having k hills (i.e., peaks at level 1) (0 <= k <= n).at n=46A128722
- Roman numerals with "i" replaced by "1", "v" replaced by "5", "x" replaced by 10, etc., sorted in increasing order.at n=35A130228
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 3 and 5.at n=64A136811
- a(n) = Sum_{k=1..n} k*sigma(k).at n=25A143128
- 10^n+2^n-1.at n=4A155594
- Partial sums of tetranacci numbers (A000288).at n=15A189740
- Dispersion of A008851, (numbers >1 and congruent to 0 or 1 mod 5), by antidiagonals.at n=45A191722
- a(n) is the smallest number k such that d(1)*1! + d(2)*2! + ... + d(p)*p! = n^2, where d(i) are the decimal digits of k.at n=24A198095
- a(n) = A239460(n) / n^2.at n=14A239463
- Absolute discriminants of complex quadratic fields with 3-class rank 2.at n=7A242862
- Relative of Hofstadter Q-sequence: a(n) = max(0, n+10000) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) + a(n-a(n-4)) for n > 0.at n=18A283889
- Relative of Hofstadter Q-sequence: a(n) = max(0, n+10001) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) + a(n-a(n-4)) for n > 0.at n=17A283890
- Relative of Hofstadter Q-sequence.at n=17A283891
- Relative of Hofstadter Q-sequence.at n=15A283892
- Numbers k such that the second k binary digits of Pi represent a prime (leading zeros allowed).at n=8A333649
- a(n) = A025179(n-2) + A102839(n-4), for n >= 4, with a(0) = a(2) = 0 and a(1) = a(3) = 1.at n=12A352916
- Partial sums of A224613.at n=35A365446
- Lexicographically earliest sequence of distinct nonnegative terms such that the Levenshtein distance (Ld) between a(n) and a(n+1) is equal to 5.at n=33A367815