3,907,220

2² × 5 × 347 × 563

Starting at 3,907,220, the Collatz iteration reaches 1 after 198 steps. The first transition is 1953610; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 347 × 563

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,243,424

Proper Divisor Sum 4,336,204

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3907219 ← → #3907231

Radix Representation

Decimal	3907220
Binary	1110111001111010010100 (22 bits)
Octal	0o16717224
Hexadecimal	0x3B9E94

Divisor Catalog (24)

Collatz Trajectory (198 steps to reach 1)

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

3,907,220 1,953,610 976,805 2,930,416 1,465,208 732,604 366,302 183,151 549,454 274,727 824,182 412,091 1,236,274 618,137 1,854,412 927,206 463,603 1,390,810 695,405 2,086,216 1,043,108 521,554 260,777 782,332 391,166 195,583 586,750 293,375 880,126 440,063 1,320,190 660,095 1,980,286 990,143 2,970,430 1,485,215 4,455,646 2,227,823 6,683,470 3,341,735 10,025,206 5,012,603 15,037,810 7,518,905 22,556,716 11,278,358 5,639,179 16,917,538 8,458,769 25,376,308 12,688,154 6,344,077 19,032,232 9,516,116 4,758,058 2,379,029 7,137,088 3,568,544 1,784,272 892,136

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