10487
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10488
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10486
- Möbius Function
- -1
- Radical
- 10487
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 55
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1283
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 84.at n=38A020423
- Primes that remain prime through 3 iterations of function f(x) = 6x + 7.at n=9A023289
- Primes that remain prime through 3 iterations of function f(x) = 10x + 9.at n=30A023301
- Define an increasing sequence as follows. Given the first term called the seed (the seed need not have the property of the sequence.). Subsequent terms are defined as obtained by inserting/placing digits (at least one) in the previous term to obtain the smallest number with a given property. This is the growing prime sequence for the seed a(1) = 7.at n=4A068172
- Five-digit distinct-digit primes.at n=15A074671
- Records in A079387.at n=11A079388
- Primes p of Erdos-Selfridge class 3+ with largest prime factor of p+1 not of class 2+.at n=35A129471
- Primes congruent to 16 mod 37.at n=34A142125
- Primes congruent to 32 mod 41.at n=30A142229
- Primes congruent to 38 mod 43.at n=25A142287
- Primes congruent to 6 mod 47.at n=30A142357
- Primes congruent to 1 mod 49.at n=30A142414
- Primes congruent to 32 mod 51.at n=40A142496
- Primes congruent to 46 mod 53.at n=24A142576
- Primes congruent to 37 mod 55.at n=31A142627
- Primes congruent to 56 mod 57.at n=31A142700
- Primes congruent to 44 mod 59.at n=24A142771
- Primes congruent to 56 mod 61.at n=23A142854
- Primes congruent to 29 mod 63.at n=32A142905
- Primes congruent to 55 mod 64.at n=38A142950