885,752

2³ × 7 × 15817

Starting at 885,752, the Collatz iteration reaches 1 after 219 steps. The first transition is 442876; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 15817

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,898,160

Proper Divisor Sum 1,012,408

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #885737 ← → #885769

Radix Representation

Decimal	885752
Binary	11011000001111111000 (20 bits)
Octal	0o3301770
Hexadecimal	0xD83F8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 15,817 31,634 63,268 110,719 126,536 221,438 442,876 885,752

Collatz Trajectory (219 steps to reach 1)

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

885,752 442,876 221,438 110,719 332,158 166,079 498,238 249,119 747,358 373,679 1,121,038 560,519 1,681,558 840,779 2,522,338 1,261,169 3,783,508 1,891,754 945,877 2,837,632 1,418,816 709,408 354,704 177,352 88,676 44,338 22,169 66,508 33,254 16,627 49,882 24,941 74,824 37,412 18,706 9,353 28,060 14,030 7,015 21,046 10,523 31,570 15,785 47,356 23,678 11,839 35,518 17,759 53,278 26,639 79,918 39,959 119,878 59,939 179,818 89,909 269,728 134,864 67,432 33,716

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