800,615

5 × 17 × 9419

800,615 factors as 5 × 17 × 9419. Its 8 positive divisors give a proper-divisor sum of 216,745, so this integer is deficient. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 5 × 17 × 9419

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,017,360

Proper Divisor Sum 216,745

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #800599 ← → #800621

Radix Representation

Decimal	800615
Binary	11000011011101100111 (20 bits)
Octal	0o3033547
Hexadecimal	0xC3767

Divisor Catalog (8)

1 5 17 85 9,419 47,095 160,123 800,615

Collatz Trajectory (255 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

800,615 2,401,846 1,200,923 3,602,770 1,801,385 5,404,156 2,702,078 1,351,039 4,053,118 2,026,559 6,079,678 3,039,839 9,119,518 4,559,759 13,679,278 6,839,639 20,518,918 10,259,459 30,778,378 15,389,189 46,167,568 23,083,784 11,541,892 5,770,946 2,885,473 8,656,420 4,328,210 2,164,105 6,492,316 3,246,158 1,623,079 4,869,238 2,434,619 7,303,858 3,651,929 10,955,788 5,477,894 2,738,947 8,216,842 4,108,421 12,325,264 6,162,632 3,081,316 1,540,658 770,329 2,310,988 1,155,494 577,747 1,733,242 866,621 2,599,864 1,299,932 649,966 324,983 974,950 487,475 1,462,426 731,213 2,193,640 1,096,820

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