10623
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14168
- Proper Divisor Sum (Aliquot Sum)
- 3545
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7080
- Möbius Function
- 1
- Radical
- 10623
- 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
- 99
- 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
- Shifts 3 places left under binomial transform.at n=14A000996
- Numbers k that divide the sum of all primes <= k.at n=7A009560
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 68.at n=37A031566
- Numbers whose set of base-15 digits is {2,3}.at n=25A032815
- Multiplicity of highest weight (or singular) vectors associated with character chi_11 of Monster module.at n=43A034399
- a(n) = least k such that the remainder when 22^k is divided by k is n.at n=24A128362
- Numbers k such that there are 9 digits in k^2 and for each factor f of 9 (1,3) the sum of digit groupings of size f is a square.at n=26A153747
- Numbers n such that 10^n - 1 divides 10^(10^100) - 10.at n=33A200879
- Nonprimes k that divide the sum of the nonprimes up to k.at n=6A234540
- Compositions with superdiagonal growth: number of compositions (p0, p1, p2, ...) of n with pi - p0 >= i.at n=36A238861
- Numbers that have all their divisors in A002191 (possible values for sigma(n), A000203).at n=35A243765
- Five-digit odd semiprimes with all digits distinct.at n=30A247948
- Numbers m, such that the smallest prime factor of 1+78557*2^m doesn't belong to the covering set {3, 5, 7, 13, 19, 37, 73}.at n=31A258095
- Solution of the complementary equation a(n) = a(n-1) + a(n-3) + a(n-4) + b(n-1), where a(0) = 1, a(1) = 2, a(2) = 3, a(3) = 4, b(0) = 5, b(1) = 6, b(2) = 7, b(3) = 8, and (a(n)) and (b(n)) are increasing complementary sequences.at n=17A295757
- Numbers k such that 3^k + k + 1 is a prime.at n=10A301632
- Number of n X 3 0..1 arrays with every element unequal to 1, 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero.at n=9A305484
- Number of separable partitions of n; see Comments.at n=35A325534
- a(n) is the Wiener index of a sling on n+1 vertices.at n=39A349417
- Minimum base in which the least number with absolute multiplicative persistence n achieves such persistence.at n=34A385727