4,221,675

3² × 5² × 29 × 647

Starting at 4,221,675, the Collatz iteration reaches 1 after 180 steps. The first transition is 12665026; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 29 × 647

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 7,834,320

Proper Divisor Sum 3,612,645

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4221671 ← → #4221677

Radix Representation

Decimal	4221675
Binary	10000000110101011101011 (23 bits)
Octal	0o20065353
Hexadecimal	0x406AEB

Divisor Catalog (36)

1 3 5 9 15 25 29 45 75 87 145 225 261 435 647 725 1,305 1,941 2,175 3,235 5,823 6,525 9,705 16,175 18,763 29,115 48,525 56,289 93,815 145,575 168,867 281,445 469,075 844,335 1,407,225 4,221,675

Collatz Trajectory (180 steps to reach 1)

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

4,221,675 12,665,026 6,332,513 18,997,540 9,498,770 4,749,385 14,248,156 7,124,078 3,562,039 10,686,118 5,343,059 16,029,178 8,014,589 24,043,768 12,021,884 6,010,942 3,005,471 9,016,414 4,508,207 13,524,622 6,762,311 20,286,934 10,143,467 30,430,402 15,215,201 45,645,604 22,822,802 11,411,401 34,234,204 17,117,102 8,558,551 25,675,654 12,837,827 38,513,482 19,256,741 57,770,224 28,885,112 14,442,556 7,221,278 3,610,639 10,831,918 5,415,959 16,247,878 8,123,939 24,371,818 12,185,909 36,557,728 18,278,864 9,139,432 4,569,716 2,284,858 1,142,429 3,427,288 1,713,644 856,822 428,411 1,285,234 642,617 1,927,852 963,926

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