3,802,213

3802213

Starting at 3,802,213, the Collatz iteration reaches 1 after 154 steps. The first transition is 11406640; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 3802213

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 3,802,214

Proper Divisor Sum 1

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3802207 ← → #3802229

Radix Representation

Decimal	3802213
Binary	1110100000010001100101 (22 bits)
Octal	0o16402145
Hexadecimal	0x3A0465

Divisor Catalog (2)

1 3,802,213

Collatz Trajectory (154 steps to reach 1)

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

3,802,213 11,406,640 5,703,320 2,851,660 1,425,830 712,915 2,138,746 1,069,373 3,208,120 1,604,060 802,030 401,015 1,203,046 601,523 1,804,570 902,285 2,706,856 1,353,428 676,714 338,357 1,015,072 507,536 253,768 126,884 63,442 31,721 95,164 47,582 23,791 71,374 35,687 107,062 53,531 160,594 80,297 240,892 120,446 60,223 180,670 90,335 271,006 135,503 406,510 203,255 609,766 304,883 914,650 457,325 1,371,976 685,988 342,994 171,497 514,492 257,246 128,623 385,870 192,935 578,806 289,403 868,210

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