10527
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 15960
- Proper Divisor Sum (Aliquot Sum)
- 5433
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6160
- Möbius Function
- 0
- Radical
- 957
- 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
- 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
- 86
- 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
- a(n) = n*(25*n + 1)/2.at n=29A022283
- "DGJ" (bracelet, element, labeled) transform of 1,3,5,7...at n=7A032225
- Sum of the first n Sophie Germain primes.at n=33A066819
- a(n) = Sum_{i=n+1..2n} prime(i) - Sum_{i=1..n} prime(i).at n=43A077354
- Starting positions of strings of three 8's in the decimal expansion of Pi.at n=8A083637
- Number of unlabeled 11-gonal 2-trees with n 11-gons.at n=6A094655
- Times in hours,minutes and seconds (to the nearest second) at which the smoothly crossing minute and hour hands of an analog clock coincide, over a period of one complete 12-hour sweep of the hour hand.at n=1A120500
- Times in hours, minutes and seconds (to the nearest second) at which the hour and minute hands of an analog clock, if interchanged, continue to indicate some other albeit accurate times, over a complete 12-hour sweep for the slower hand. Leading zeros omitted.at n=13A121577
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 0), (1, -1, 1), (1, 0, -1), (1, 1, 0)}.at n=8A149219
- An Ulam-type sequence: a(n) = n if n<=10; for n>10, a(n) = least number > a(n-1) which is a unique sum of 10 distinct earlier terms.at n=46A183533
- Number of (n+1)X(n+1) -8..8 symmetric matrices with every 2X2 subblock having sum zero and one, two or three distinct values.at n=5A211470
- Number of distinct regular languages over binary alphabet, whose minimum regular expression has ordinary length n.at n=8A211949
- Semiperimeters s of primitive Pythagorean triples (a, b, c) where a, b, c and s are not squarefree.at n=21A237620
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 286", based on the 5-celled von Neumann neighborhood.at n=30A271123
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 742", based on the 5-celled von Neumann neighborhood.at n=38A273484
- Indices of primes in A000219.at n=32A285216
- The number of noncototient numbers <= 10^n.at n=4A290242
- Heinz numbers of integer partitions whose reciprocal sum is 1.at n=12A316855
- Heinz numbers of aperiodic integer partitions into relatively prime parts whose reciprocal sum is 1.at n=4A316888
- Heinz numbers of aperiodic integer partitions whose reciprocal sum is 1.at n=8A316889