4,222,557

3³ × 43 × 3637

Starting at 4,222,557, the Collatz iteration reaches 1 after 304 steps. The first transition is 12667672; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 43 × 3637

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,402,880

Proper Divisor Sum 2,180,323

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4222553 ← → #4222577

Radix Representation

Decimal	4222557
Binary	10000000110111001011101 (23 bits)
Octal	0o20067135
Hexadecimal	0x406E5D

Divisor Catalog (16)

1 3 9 27 43 129 387 1,161 3,637 10,911 32,733 98,199 156,391 469,173 1,407,519 4,222,557

Collatz Trajectory (304 steps to reach 1)

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

4,222,557 12,667,672 6,333,836 3,166,918 1,583,459 4,750,378 2,375,189 7,125,568 3,562,784 1,781,392 890,696 445,348 222,674 111,337 334,012 167,006 83,503 250,510 125,255 375,766 187,883 563,650 281,825 845,476 422,738 211,369 634,108 317,054 158,527 475,582 237,791 713,374 356,687 1,070,062 535,031 1,605,094 802,547 2,407,642 1,203,821 3,611,464 1,805,732 902,866 451,433 1,354,300 677,150 338,575 1,015,726 507,863 1,523,590 761,795 2,285,386 1,142,693 3,428,080 1,714,040 857,020 428,510 214,255 642,766 321,383 964,150

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