2,718,171

3³ × 100673

2,718,171 has digital root 9. The neighboring primes are 2718169 and 2718179; its proper-divisor sum differs from the starting integer by -1,409,382.

Prime Factor Structure

Factorization String 3^3 × 100673

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,026,960

Proper Divisor Sum 1,308,789

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2718169 ← → #2718179

Radix Representation

Decimal	2718171
Binary	1010010111100111011011 (22 bits)
Octal	0o12274733
Hexadecimal	0x2979DB

Divisor Catalog (8)

1 3 9 27 100,673 302,019 906,057 2,718,171

Collatz Trajectory (86 steps to reach 1)

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

2,718,171 8,154,514 4,077,257 12,231,772 6,115,886 3,057,943 9,173,830 4,586,915 13,760,746 6,880,373 20,641,120 10,320,560 5,160,280 2,580,140 1,290,070 645,035 1,935,106 967,553 2,902,660 1,451,330 725,665 2,176,996 1,088,498 544,249 1,632,748 816,374 408,187 1,224,562 612,281 1,836,844 918,422 459,211 1,377,634 688,817 2,066,452 1,033,226 516,613 1,549,840 774,920 387,460 193,730 96,865 290,596 145,298 72,649 217,948 108,974 54,487 163,462 81,731 245,194 122,597 367,792 183,896 91,948 45,974 22,987 68,962 34,481 103,444

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