4,212,845

5 × 7 × 13 × 47 × 197

Starting at 4,212,845, the Collatz iteration reaches 1 after 154 steps. The first transition is 12638536; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 13 × 47 × 197

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,386,688

Proper Divisor Sum 2,173,843

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4212827 ← → #4212847

Radix Representation

Decimal	4212845
Binary	10000000100100001101101 (23 bits)
Octal	0o20044155
Hexadecimal	0x40486D

Divisor Catalog (32)

1 5 7 13 35 47 65 91 197 235 329 455 611 985 1,379 1,645 2,561 3,055 4,277 6,895 9,259 12,805 17,927 21,385 46,295 64,813 89,635 120,367 324,065 601,835 842,569 4,212,845

Collatz Trajectory (154 steps to reach 1)

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

4,212,845 12,638,536 6,319,268 3,159,634 1,579,817 4,739,452 2,369,726 1,184,863 3,554,590 1,777,295 5,331,886 2,665,943 7,997,830 3,998,915 11,996,746 5,998,373 17,995,120 8,997,560 4,498,780 2,249,390 1,124,695 3,374,086 1,687,043 5,061,130 2,530,565 7,591,696 3,795,848 1,897,924 948,962 474,481 1,423,444 711,722 355,861 1,067,584 533,792 266,896 133,448 66,724 33,362 16,681 50,044 25,022 12,511 37,534 18,767 56,302 28,151 84,454 42,227 126,682 63,341 190,024 95,012 47,506 23,753 71,260 35,630 17,815 53,446 26,723

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