4,862,256

2⁴ × 3 × 7 × 29 × 499

Starting at 4,862,256, the Collatz iteration reaches 1 after 113 steps. The first transition is 2431128; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 29 × 499

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 14,880,000

Proper Divisor Sum 10,017,744

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4862251 ← → #4862261

Radix Representation

Decimal	4862256
Binary	10010100011000100110000 (23 bits)
Octal	0o22430460
Hexadecimal	0x4A3130

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 499 609 696 812 998 1,218 1,392 1,497 1,624 1,996 2,436 2,994 3,248 3,493 3,992 4,872 5,988 6,986 7,984 9,744 10,479 11,976 13,972 14,471 20,958 23,952 27,944 28,942 41,916 43,413

Collatz Trajectory (113 steps to reach 1)

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

4,862,256 2,431,128 1,215,564 607,782 303,891 911,674 455,837 1,367,512 683,756 341,878 170,939 512,818 256,409 769,228 384,614 192,307 576,922 288,461 865,384 432,692 216,346 108,173 324,520 162,260 81,130 40,565 121,696 60,848 30,424 15,212 7,606 3,803 11,410 5,705 17,116 8,558 4,279 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860

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