10153
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
- 8
- Divisor Sum
- 12096
- Proper Divisor Sum (Aliquot Sum)
- 1943
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8400
- Möbius Function
- -1
- Radical
- 10153
- Omega Function (Ω)
- 3
- 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
- yes
- 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
- 60
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Geometric mean of phi(n) and sigma(n) is an integer, n odd.at n=26A015705
- Lucky numbers with size of gaps equal to 20 (lower terms).at n=20A031902
- a(n) = (2*n-1)*(4*n-1).at n=36A033567
- Denominators of continued fraction convergents to sqrt(373).at n=5A041707
- Numbers n such that 259*2^n-1 is prime.at n=16A050888
- Period of the sequence of Bell numbers A000110 (mod n).at n=14A054767
- a(n) = 25*n*(n + 1)/2 + 3.at n=28A061793
- Numbers that are sums of divisors of the odd squares; Intersection of A065764 and A065766, written in ascending order and duplicates removed.at n=44A065768
- Triangular numbers with sum of digits = 10.at n=20A068129
- Triangular numbers which are a concatenation of two or more positive triangular numbers.at n=21A068144
- Triangular numbers such that both the number formed by the first floor((k+1)/2) digits and the remaining part (if any) are triangular numbers, where k is the number of digits.at n=12A068821
- a(1) = 1; a(n) is the smallest triangular number > a(n-1) which differs from it at every digit.at n=28A068855
- Triangular numbers with internal digits also forming a triangular number.at n=30A069702
- Triangular numbers with arithmetic mean of digits = integer (sum of digits = A multiple of the number of digits).at n=43A069712
- Triangular numbers that are 3-almost primes.at n=42A075875
- Numbers k such that k!! + 2^10 is prime.at n=12A076197
- Triangular numbers whose internal digits form a triangular number. Or triangular number such that deleting the MSD and LSD leaves a triangular number.at n=44A077366
- a(n) = A077702(n+1)/A077702(n).at n=12A077703
- a(n) = A077727(n)/n.at n=31A077728
- Rearrangement of triangular numbers such that the sum of two consecutive terms is a palindrome.at n=26A082980