84,200,418

2 × 3³ × 1559267

84,200,418 factors as 2 × 3^3 × 1559267. Its 16 positive divisors give a proper-divisor sum of 102,911,742, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 1559267

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 187,112,160

Proper Divisor Sum 102,911,742

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #84200399 ← → #84200477

Radix Representation

Decimal	84200418
Binary	101000001001100101111100010 (27 bits)
Octal	0o501145742
Hexadecimal	0x504CBE2

Divisor Catalog (16)

1 2 3 6 9 18 27 54 1,559,267 3,118,534 4,677,801 9,355,602 14,033,403 28,066,806 42,100,209 84,200,418

Collatz Trajectory (161 steps to reach 1)

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

84,200,418 42,100,209 126,300,628 63,150,314 31,575,157 94,725,472 47,362,736 23,681,368 11,840,684 5,920,342 2,960,171 8,880,514 4,440,257 13,320,772 6,660,386 3,330,193 9,990,580 4,995,290 2,497,645 7,492,936 3,746,468 1,873,234 936,617 2,809,852 1,404,926 702,463 2,107,390 1,053,695 3,161,086 1,580,543 4,741,630 2,370,815 7,112,446 3,556,223 10,668,670 5,334,335 16,003,006 8,001,503 24,004,510 12,002,255 36,006,766 18,003,383 54,010,150 27,005,075 81,015,226 40,507,613 121,522,840 60,761,420 30,380,710 15,190,355 45,571,066 22,785,533 68,356,600 34,178,300 17,089,150 8,544,575 25,633,726 12,816,863 38,450,590 19,225,295

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