3,916,830

2 × 3 × 5 × 137 × 953

Starting at 3,916,830, the Collatz iteration reaches 1 after 216 steps. The first transition is 1958415; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 137 × 953

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,478,944

Proper Divisor Sum 5,562,114

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3916813 ← → #3916849

Radix Representation

Decimal	3916830
Binary	1110111100010000011110 (22 bits)
Octal	0o16742036
Hexadecimal	0x3BC41E

Divisor Catalog (32)

1 2 3 5 6 10 15 30 137 274 411 685 822 953 1,370 1,906 2,055 2,859 4,110 4,765 5,718 9,530 14,295 28,590 130,561 261,122 391,683 652,805 783,366 1,305,610 1,958,415 3,916,830

Collatz Trajectory (216 steps to reach 1)

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

3,916,830 1,958,415 5,875,246 2,937,623 8,812,870 4,406,435 13,219,306 6,609,653 19,828,960 9,914,480 4,957,240 2,478,620 1,239,310 619,655 1,858,966 929,483 2,788,450 1,394,225 4,182,676 2,091,338 1,045,669 3,137,008 1,568,504 784,252 392,126 196,063 588,190 294,095 882,286 441,143 1,323,430 661,715 1,985,146 992,573 2,977,720 1,488,860 744,430 372,215 1,116,646 558,323 1,674,970 837,485 2,512,456 1,256,228 628,114 314,057 942,172 471,086 235,543 706,630 353,315 1,059,946 529,973 1,589,920 794,960 397,480 198,740 99,370 49,685 149,056

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