4,476,874

2 × 277 × 8081

Starting at 4,476,874, the Collatz iteration reaches 1 after 211 steps. The first transition is 2238437; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 277 × 8081

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,740,388

Proper Divisor Sum 2,263,514

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #4476863 ← → #4476883

Radix Representation

Decimal	4476874
Binary	10001000100111111001010 (23 bits)
Octal	0o21047712
Hexadecimal	0x444FCA

Divisor Catalog (8)

1 2 277 554 8,081 16,162 2,238,437 4,476,874

Collatz Trajectory (211 steps to reach 1)

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

4,476,874 2,238,437 6,715,312 3,357,656 1,678,828 839,414 419,707 1,259,122 629,561 1,888,684 944,342 472,171 1,416,514 708,257 2,124,772 1,062,386 531,193 1,593,580 796,790 398,395 1,195,186 597,593 1,792,780 896,390 448,195 1,344,586 672,293 2,016,880 1,008,440 504,220 252,110 126,055 378,166 189,083 567,250 283,625 850,876 425,438 212,719 638,158 319,079 957,238 478,619 1,435,858 717,929 2,153,788 1,076,894 538,447 1,615,342 807,671 2,423,014 1,211,507 3,634,522 1,817,261 5,451,784 2,725,892 1,362,946 681,473 2,044,420 1,022,210

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