843,745

5 × 7 × 24107

Starting at 843,745, the Collatz iteration reaches 1 after 157 steps. The first transition is 2531236; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 24107

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,157,184

Proper Divisor Sum 313,439

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #843737 ← → #843757

Radix Representation

Decimal	843745
Binary	11001101111111100001 (20 bits)
Octal	0o3157741
Hexadecimal	0xCDFE1

Divisor Catalog (8)

1 5 7 35 24,107 120,535 168,749 843,745

Collatz Trajectory (157 steps to reach 1)

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

843,745 2,531,236 1,265,618 632,809 1,898,428 949,214 474,607 1,423,822 711,911 2,135,734 1,067,867 3,203,602 1,601,801 4,805,404 2,402,702 1,201,351 3,604,054 1,802,027 5,406,082 2,703,041 8,109,124 4,054,562 2,027,281 6,081,844 3,040,922 1,520,461 4,561,384 2,280,692 1,140,346 570,173 1,710,520 855,260 427,630 213,815 641,446 320,723 962,170 481,085 1,443,256 721,628 360,814 180,407 541,222 270,611 811,834 405,917 1,217,752 608,876 304,438 152,219 456,658 228,329 684,988 342,494 171,247 513,742 256,871 770,614 385,307 1,155,922

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