10003
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 4
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11440
- Proper Divisor Sum (Aliquot Sum)
- 1437
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8568
- Möbius Function
- 1
- Radical
- 10003
- 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
- yes
- 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
- n written in base where place values are positive squares.at n=27A007961
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VET = VPI-8 [Si17O34] starting with a T2 atom.at n=12A019248
- Positive numbers k such that k and 3*k are anagrams in base 9 (written in base 9).at n=34A023080
- Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 3 (mod 5).at n=47A035567
- Positive numbers having the same set of digits in base 5 and base 10.at n=37A037433
- Numbers n with property that n is a substring of its base 5 representation.at n=8A038105
- Numbers having three 0's in base 10.at n=11A043491
- Numbers whose sum of digits is 4.at n=35A052218
- n is odd and sum of digits of n equals the numbers of divisors of n.at n=41A057532
- Numbers whose cubes contain more than half the same digit and do not end in 0.at n=26A060814
- Numbers k such that there are no prime numbers between reverse(k) and 3*k.at n=6A074815
- Triangle, read by rows, in which the n-th row contains n smallest n-digit numbers.at n=13A081551
- Positions of zero in the infinite audioactive word, A088205, which shifts left under "Look and Say" method A, starting with a(1)=0.at n=26A088206
- Numbers of the form 10^k + 1, 3, 7, or 9 for k>=1.at n=13A088265
- Numbers n such that there are (presumably) ten palindromes in the Reverse and Add! trajectory of n.at n=2A090071
- Interpolate 0's between each pair of digits of n-th prime.at n=26A092909
- Numbers of partitions of 2n into n primes.at n=39A102108
- Lexicographically earliest increasing sequence whose k-th digit is the absolute difference between the two digits touching the k-th comma.at n=14A102663
- Numbers n such that 9*10^n + 5*R_n + 2 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=6A103102
- Positions of 9 in partition of decimal expansion of Pi A104807.at n=35A104809