3,917,020

2² × 5 × 139 × 1409

Starting at 3,917,020, the Collatz iteration reaches 1 after 216 steps. The first transition is 1958510; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 139 × 1409

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,290,800

Proper Divisor Sum 4,373,780

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3917009 ← → #3917033

Radix Representation

Decimal	3917020
Binary	1110111100010011011100 (22 bits)
Octal	0o16742334
Hexadecimal	0x3BC4DC

Divisor Catalog (24)

1 2 4 5 10 20 139 278 556 695 1,390 1,409 2,780 2,818 5,636 7,045 14,090 28,180 195,851 391,702 783,404 979,255 1,958,510 3,917,020

Collatz Trajectory (216 steps to reach 1)

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

3,917,020 1,958,510 979,255 2,937,766 1,468,883 4,406,650 2,203,325 6,609,976 3,304,988 1,652,494 826,247 2,478,742 1,239,371 3,718,114 1,859,057 5,577,172 2,788,586 1,394,293 4,182,880 2,091,440 1,045,720 522,860 261,430 130,715 392,146 196,073 588,220 294,110 147,055 441,166 220,583 661,750 330,875 992,626 496,313 1,488,940 744,470 372,235 1,116,706 558,353 1,675,060 837,530 418,765 1,256,296 628,148 314,074 157,037 471,112 235,556 117,778 58,889 176,668 88,334 44,167 132,502 66,251 198,754 99,377 298,132 149,066

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