4,838,449

7 × 11 × 31 × 2027

Starting at 4,838,449, the Collatz iteration reaches 1 after 131 steps. The first transition is 14515348; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 31 × 2027

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,230,016

Proper Divisor Sum 1,391,567

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #4838443 ← → #4838461

Radix Representation

Decimal	4838449
Binary	10010011101010000110001 (23 bits)
Octal	0o22352061
Hexadecimal	0x49D431

Divisor Catalog (16)

1 7 11 31 77 217 341 2,027 2,387 14,189 22,297 62,837 156,079 439,859 691,207 4,838,449

Collatz Trajectory (131 steps to reach 1)

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

4,838,449 14,515,348 7,257,674 3,628,837 10,886,512 5,443,256 2,721,628 1,360,814 680,407 2,041,222 1,020,611 3,061,834 1,530,917 4,592,752 2,296,376 1,148,188 574,094 287,047 861,142 430,571 1,291,714 645,857 1,937,572 968,786 484,393 1,453,180 726,590 363,295 1,089,886 544,943 1,634,830 817,415 2,452,246 1,226,123 3,678,370 1,839,185 5,517,556 2,758,778 1,379,389 4,138,168 2,069,084 1,034,542 517,271 1,551,814 775,907 2,327,722 1,163,861 3,491,584 1,745,792 872,896 436,448 218,224 109,112 54,556 27,278 13,639 40,918 20,459 61,378 30,689

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