2,018,091

3 × 37 × 18181

2,018,091 factors as 3 × 37 × 18181. Its 8 positive divisors give a proper-divisor sum of 745,573, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 3 × 37 × 18181

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,763,664

Proper Divisor Sum 745,573

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2018077 ← → #2018111

Radix Representation

Decimal	2018091
Binary	111101100101100101011 (21 bits)
Octal	0o7545453
Hexadecimal	0x1ECB2B

Divisor Catalog (8)

1 3 37 111 18,181 54,543 672,697 2,018,091

Collatz Trajectory (184 steps to reach 1)

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

2,018,091 6,054,274 3,027,137 9,081,412 4,540,706 2,270,353 6,811,060 3,405,530 1,702,765 5,108,296 2,554,148 1,277,074 638,537 1,915,612 957,806 478,903 1,436,710 718,355 2,155,066 1,077,533 3,232,600 1,616,300 808,150 404,075 1,212,226 606,113 1,818,340 909,170 454,585 1,363,756 681,878 340,939 1,022,818 511,409 1,534,228 767,114 383,557 1,150,672 575,336 287,668 143,834 71,917 215,752 107,876 53,938 26,969 80,908 40,454 20,227 60,682 30,341 91,024 45,512 22,756 11,378 5,689 17,068 8,534 4,267 12,802

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