λ
Prime Ledger

4,262,418

2 × 32 × 43 × 5507
Abundant Even Composite

4,262,418 has the prime decomposition 2 × 3^2 × 43 × 5507. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 43 × 5507
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,451,728
Proper Divisor Sum 5,189,310
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4262417 ← → #4262431

Radix Representation

Decimal 4262418
Binary 10000010000101000010010 (23 bits)
Octal 0o20205022
Hexadecimal 0x410A12

Divisor Catalog (24)

1 2 3 6 9 18 43 86 129 258 387 774 5,507 11,014 16,521 33,042 49,563 99,126 236,801 473,602 710,403 1,420,806 2,131,209 4,262,418

Collatz Trajectory (167 steps to reach 1)

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

4,262,418 2,131,209 6,393,628 3,196,814 1,598,407 4,795,222 2,397,611 7,192,834 3,596,417 10,789,252 5,394,626 2,697,313 8,091,940 4,045,970 2,022,985 6,068,956 3,034,478 1,517,239 4,551,718 2,275,859 6,827,578 3,413,789 10,241,368 5,120,684 2,560,342 1,280,171 3,840,514 1,920,257 5,760,772 2,880,386 1,440,193 4,320,580 2,160,290 1,080,145 3,240,436 1,620,218 810,109 2,430,328 1,215,164 607,582 303,791 911,374 455,687 1,367,062 683,531 2,050,594 1,025,297 3,075,892 1,537,946 768,973 2,306,920 1,153,460 576,730 288,365 865,096 432,548 216,274 108,137 324,412 162,206

More profiles

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