10143
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 17784
- Proper Divisor Sum (Aliquot Sum)
- 7641
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5544
- Möbius Function
- 0
- Radical
- 483
- Omega Function (Ω)
- 5
- 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
- 117
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) is the number of partitions of n (the partition numbers).at n=33A000041
- Number of atoms in a decahedron with n shells.at n=23A004068
- Sorted k-factorial numbers (numbers of form k-1 excluded).at n=26A028687
- Sorted factorial and k-factorial numbers (numbers of form k-1 excluded).at n=32A028688
- Number of partitions of n into even parts.at n=66A035363
- a(n) = least number not of form [ (a^2+b^2)/n ].at n=27A036574
- Nonprime partition numbers.at n=26A038753
- Number of partitions satisfying 0 < cn(1,5) + cn(4,5) + cn(2,5) + cn(3,5).at n=33A039896
- Denominators of continued fraction convergents to sqrt(470).at n=8A041897
- Odd partition numbers.at n=17A052003
- Number of ways to partition 2n+1 into positive integers.at n=16A058695
- a(n) = (1/3!)*(n^3 + 24*n^2 + 107*n + 90), compare A059604.at n=32A059605
- Nonprimes which terminate in their sum of prime factors.at n=34A071173
- Numbers k such that prime(k) + prime(k+1) + prime(k+2) is a square.at n=19A076305
- Number of partitions of n with at least one odd part.at n=33A086543
- Partition numbers of the form 3*k.at n=14A087183
- "The partial sums of the positions where T occurs in this sentence are one, eight, twentyfive, fortynine, eightythree, onehundredtwentysix, ..." (Variation of Aronson's sequence).at n=44A089613
- Number of partitions of the n-th decimal palindrome.at n=12A091582
- Number of partitions of n into integers not greater than the squarefree kernel of n.at n=32A098715
- Number of partitions of P where P=(5*n + 1) if n is even and P=((5*n + 1)/2) if n is odd.at n=13A111451