4,218,257

43 × 263 × 373

Starting at 4,218,257, the Collatz iteration reaches 1 after 154 steps. The first transition is 12654772; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 43 × 263 × 373

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,344,384

Proper Divisor Sum 126,127

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4218251 ← → #4218271

Radix Representation

Decimal	4218257
Binary	10000000101110110010001 (23 bits)
Octal	0o20056621
Hexadecimal	0x405D91

Divisor Catalog (8)

1 43 263 373 11,309 16,039 98,099 4,218,257

Collatz Trajectory (154 steps to reach 1)

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

4,218,257 12,654,772 6,327,386 3,163,693 9,491,080 4,745,540 2,372,770 1,186,385 3,559,156 1,779,578 889,789 2,669,368 1,334,684 667,342 333,671 1,001,014 500,507 1,501,522 750,761 2,252,284 1,126,142 563,071 1,689,214 844,607 2,533,822 1,266,911 3,800,734 1,900,367 5,701,102 2,850,551 8,551,654 4,275,827 12,827,482 6,413,741 19,241,224 9,620,612 4,810,306 2,405,153 7,215,460 3,607,730 1,803,865 5,411,596 2,705,798 1,352,899 4,058,698 2,029,349 6,088,048 3,044,024 1,522,012 761,006 380,503 1,141,510 570,755 1,712,266 856,133 2,568,400 1,284,200 642,100 321,050 160,525

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