10060
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
- 12
- Divisor Sum
- 21168
- Proper Divisor Sum (Aliquot Sum)
- 11108
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4016
- Möbius Function
- 0
- Radical
- 5030
- 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
- 42
- 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
- From a nim-like game.at n=34A003413
- Numbers having three 0's in base 10.at n=23A043491
- Triangle read by rows: T(n,k) is the number of labeled commutative semigroups of order n with k idempotents.at n=11A058167
- Difference between the sum of next prime(n) natural numbers and the sum of next n primes.at n=16A082749
- a(n) = floor( (2/(exp(1) - 2))^n ) for n >= 2, a(1) = 1.at n=8A088656
- Number of partitions of n having positive even rank (the rank of a partition is the largest part minus the number of parts).at n=41A101708
- Least positive k such that k * Z^n + 1 is prime, where Z = 10^100+267, the first prime greater than a googol.at n=36A108344
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 3 and 6.at n=36A136812
- Number of binary strings of length n with no substrings equal to 0000 0101 or 1110.at n=15A164436
- Number of partitions of n such that some part is a sum of two other parts.at n=34A237113
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 910", based on the 5-celled von Neumann neighborhood.at n=31A273764
- Positive integers congruent to 0 or 1 modulo 4 that cannot be written as x^3 + y^2 + z^2 with x,y,z nonnegative integers.at n=9A275083
- Number of n-element subsets of [2n] having a prime element sum.at n=9A282517
- Numbers in which 0 outnumbers all other digits together.at n=34A292730
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-2)^2, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences.at n=13A296257
- Expansion of Product_{k=1..10} theta_3(q^k), where theta_3() is the Jacobi theta function.at n=35A320242
- Number of 9-element subsets of [n] having a prime element sum.at n=9A320684
- Number of smooth arithmetical structures on D_n.at n=29A335675
- Number of ways to write n as an ordered sum of 5 squarefree numbers.at n=31A341065
- Records in A228407.at n=41A377925