10599
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14136
- Proper Divisor Sum (Aliquot Sum)
- 3537
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7064
- Möbius Function
- 1
- Radical
- 10599
- 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
- 161
- 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
- Least number of Sort-then-add persistence n.at n=37A033863
- Least number of Sort-then-add persistence n.at n=37A033908
- Numbers whose base-5 representation contains exactly two 3's and three 4's.at n=35A045303
- Numbers k that divide the sum of the digits of (k!)^2.at n=21A108862
- Sum of the sizes of the Durfee squares of all partitions of n into odd parts.at n=47A116465
- Semiprimes s such that s-/+2 are primes.at n=42A125215
- Odd integers that do not generate monotonically decreasing infinitary aliquot sequences.at n=27A127667
- a(n) = least k such that the remainder when 22^k is divided by k is n.at n=48A128362
- Partial sums of A045699.at n=34A178494
- Number of nondecreasing -n..n vectors of length 3 whose dot product with some lexicographically greater than or equal to nondecreasing -n..n vector equals 3.at n=21A226424
- Numbers of quasi-pyramid polycubes of a given volume (number of atomic cells).at n=14A230119
- Number of (n+2) X (7+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 3 5 6 or 7.at n=10A252383
- Smallest k such that A257743(k)=n.at n=20A257744
- Numbers n which are neither palindromes nor the sum of two palindromes, with property that the largest palindrome which when subtracted from n yields the sum of two palindromes is not the palindromic floor of n (A261423(n)), but rather the next palindrome below that.at n=33A261911
- a(n) is the number of rooted binary trees with minimal Sackin index and n leaves.at n=73A299037
- Numbers k such that A361338(k) = 9.at n=12A361348