4,670,728

2³ × 583841

Starting at 4,670,728, the Collatz iteration reaches 1 after 193 steps. The first transition is 2335364; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 583841

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,757,630

Proper Divisor Sum 4,086,902

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4670707 ← → #4670737

Radix Representation

Decimal	4670728
Binary	10001110100010100001000 (23 bits)
Octal	0o21642410
Hexadecimal	0x474508

Divisor Catalog (8)

1 2 4 8 583,841 1,167,682 2,335,364 4,670,728

Collatz Trajectory (193 steps to reach 1)

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

4,670,728 2,335,364 1,167,682 583,841 1,751,524 875,762 437,881 1,313,644 656,822 328,411 985,234 492,617 1,477,852 738,926 369,463 1,108,390 554,195 1,662,586 831,293 2,493,880 1,246,940 623,470 311,735 935,206 467,603 1,402,810 701,405 2,104,216 1,052,108 526,054 263,027 789,082 394,541 1,183,624 591,812 295,906 147,953 443,860 221,930 110,965 332,896 166,448 83,224 41,612 20,806 10,403 31,210 15,605 46,816 23,408 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940

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