774,416

2⁴ × 29 × 1669

Starting at 774,416, the Collatz iteration reaches 1 after 74 steps. The first transition is 387208; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 29 × 1669

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,553,100

Proper Divisor Sum 778,684

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #774377 ← → #774427

Radix Representation

Decimal	774416
Binary	10111101000100010000 (20 bits)
Octal	0o2750420
Hexadecimal	0xBD110

Divisor Catalog (20)

1 2 4 8 16 29 58 116 232 464 1,669 3,338 6,676 13,352 26,704 48,401 96,802 193,604 387,208 774,416

Collatz Trajectory (74 steps to reach 1)

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

774,416 387,208 193,604 96,802 48,401 145,204 72,602 36,301 108,904 54,452 27,226 13,613 40,840 20,420 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23

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