4,851,128

2³ × 31² × 631

Starting at 4,851,128, the Collatz iteration reaches 1 after 118 steps. The first transition is 2425564; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 31^2 × 631

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,413,640

Proper Divisor Sum 4,562,512

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4851127 ← → #4851139

Radix Representation

Decimal	4851128
Binary	10010100000010110111000 (23 bits)
Octal	0o22402670
Hexadecimal	0x4A05B8

Divisor Catalog (24)

1 2 4 8 31 62 124 248 631 961 1,262 1,922 2,524 3,844 5,048 7,688 19,561 39,122 78,244 156,488 606,391 1,212,782 2,425,564 4,851,128

Collatz Trajectory (118 steps to reach 1)

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

4,851,128 2,425,564 1,212,782 606,391 1,819,174 909,587 2,728,762 1,364,381 4,093,144 2,046,572 1,023,286 511,643 1,534,930 767,465 2,302,396 1,151,198 575,599 1,726,798 863,399 2,590,198 1,295,099 3,885,298 1,942,649 5,827,948 2,913,974 1,456,987 4,370,962 2,185,481 6,556,444 3,278,222 1,639,111 4,917,334 2,458,667 7,376,002 3,688,001 11,064,004 5,532,002 2,766,001 8,298,004 4,149,002 2,074,501 6,223,504 3,111,752 1,555,876 777,938 388,969 1,166,908 583,454 291,727 875,182 437,591 1,312,774 656,387 1,969,162 984,581 2,953,744 1,476,872 738,436 369,218 184,609

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