2,018,751

3 × 7² × 31 × 443

2,018,751 factors as 3 × 7^2 × 31 × 443. Its 24 positive divisors give a proper-divisor sum of 1,220,673, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 31 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,239,424

Proper Divisor Sum 1,220,673

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2018749 ← → #2018761

Radix Representation

Decimal	2018751
Binary	111101100110110111111 (21 bits)
Octal	0o7546677
Hexadecimal	0x1ECDBF

Divisor Catalog (24)

Collatz Trajectory (140 steps to reach 1)

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

2,018,751 6,056,254 3,028,127 9,084,382 4,542,191 13,626,574 6,813,287 20,439,862 10,219,931 30,659,794 15,329,897 45,989,692 22,994,846 11,497,423 34,492,270 17,246,135 51,738,406 25,869,203 77,607,610 38,803,805 116,411,416 58,205,708 29,102,854 14,551,427 43,654,282 21,827,141 65,481,424 32,740,712 16,370,356 8,185,178 4,092,589 12,277,768 6,138,884 3,069,442 1,534,721 4,604,164 2,302,082 1,151,041 3,453,124 1,726,562 863,281 2,589,844 1,294,922 647,461 1,942,384 971,192 485,596 242,798 121,399 364,198 182,099 546,298 273,149 819,448 409,724 204,862 102,431 307,294 153,647 460,942

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