3,965,284

2² × 17 × 58313

Starting at 3,965,284, the Collatz iteration reaches 1 after 97 steps. The first transition is 1982642; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 58313

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,347,564

Proper Divisor Sum 3,382,280

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3965231 ← → #3965309

Radix Representation

Decimal	3965284
Binary	1111001000000101100100 (22 bits)
Octal	0o17100544
Hexadecimal	0x3C8164

Divisor Catalog (12)

1 2 4 17 34 68 58,313 116,626 233,252 991,321 1,982,642 3,965,284

Collatz Trajectory (97 steps to reach 1)

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

3,965,284 1,982,642 991,321 2,973,964 1,486,982 743,491 2,230,474 1,115,237 3,345,712 1,672,856 836,428 418,214 209,107 627,322 313,661 940,984 470,492 235,246 117,623 352,870 176,435 529,306 264,653 793,960 396,980 198,490 99,245 297,736 148,868 74,434 37,217 111,652 55,826 27,913 83,740 41,870 20,935 62,806 31,403 94,210 47,105 141,316 70,658 35,329 105,988 52,994 26,497 79,492 39,746 19,873 59,620 29,810 14,905 44,716 22,358 11,179 33,538 16,769 50,308 25,154

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