4,336,566

2 × 3 × 13 × 53 × 1049

Starting at 4,336,566, the Collatz iteration reaches 1 after 92 steps. The first transition is 2168283; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 53 × 1049

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,525,600

Proper Divisor Sum 5,189,034

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4336537 ← → #4336567

Radix Representation

Decimal	4336566
Binary	10000100010101110110110 (23 bits)
Octal	0o20425666
Hexadecimal	0x422BB6

Divisor Catalog (32)

1 2 3 6 13 26 39 53 78 106 159 318 689 1,049 1,378 2,067 2,098 3,147 4,134 6,294 13,637 27,274 40,911 55,597 81,822 111,194 166,791 333,582 722,761 1,445,522 2,168,283 4,336,566

Collatz Trajectory (92 steps to reach 1)

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

4,336,566 2,168,283 6,504,850 3,252,425 9,757,276 4,878,638 2,439,319 7,317,958 3,658,979 10,976,938 5,488,469 16,465,408 8,232,704 4,116,352 2,058,176 1,029,088 514,544 257,272 128,636 64,318 32,159 96,478 48,239 144,718 72,359 217,078 108,539 325,618 162,809 488,428 244,214 122,107 366,322 183,161 549,484 274,742 137,371 412,114 206,057 618,172 309,086 154,543 463,630 231,815 695,446 347,723 1,043,170 521,585 1,564,756 782,378 391,189 1,173,568 586,784 293,392 146,696 73,348 36,674 18,337 55,012 27,506

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