10045
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14364
- Proper Divisor Sum (Aliquot Sum)
- 4319
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6720
- Möbius Function
- 0
- Radical
- 1435
- 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
- yes
- 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
- 91
- 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
- Odd pentagonal numbers.at n=41A014632
- Positive numbers k such that k and 5*k are anagrams in base 6 (written in base 6).at n=1A023067
- a(n) = 3rd elementary symmetric function of the first n+2 odd positive integers.at n=4A024197
- Triangle of coefficients in expansion of (x+1)*(x+3)*...*(x + 2n - 1) in rising powers of x.at n=32A028338
- Coefficient of x^4 in expansion of (x+1)*(x+3)*...*(x+2*n-1).at n=3A028341
- Number of ternary codes of length 8 with n words.at n=4A034220
- Number of ternary codes (not necessarily linear) of length n with 4 words.at n=7A034224
- Pentagonal numbers with even index.at n=41A049452
- Triangle of coefficients in expansion of (1+x)*(1+3x)*(1+5x)*(1+7x)*...*(1+(2n-1)x).at n=31A109692
- Number of partitions of n which represent first player winning Chomp positions with multiple winning moves.at n=36A112473
- Pentagonal numbers (A000326) whose digit reversal is a prime.at n=13A115707
- Pentagonal numbers for which the product of the digits is also a pentagonal number.at n=35A117710
- Pentagonal numbers divisible by 5.at n=33A117793
- Least pentagonal number P(m) > P(n) such that P(m)+P(n) is again a pentagonal number, 0 if no such m exists.at n=43A136114
- Least pentagonal number P(m) > P(n) such that P(m)+P(n) is again a pentagonal number, 0 if no such m exists.at n=12A136114
- a(n) = n*(8*n+7).at n=35A139278
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 0100-0100-1111-0010-0010 pattern in any orientation.at n=12A147345
- a(n) = smallest number that leads to a new cycle under the Kaprekar map of A151949.at n=5A151964
- a(n) = 324*n + 1.at n=30A158272
- Number of unordered ways of making change for n dollars using coins of denominations 1, 5, 10, and 25.at n=4A160551