2,251,006

2 × 19 × 37 × 1601

2,251,006 factors as 2 × 19 × 37 × 1601. Its 16 positive divisors give a proper-divisor sum of 1,401,554, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2 × 19 × 37 × 1601

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,652,560

Proper Divisor Sum 1,401,554

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #2251001 ← → #2251031

Radix Representation

Decimal	2251006
Binary	1000100101100011111110 (22 bits)
Octal	0o10454376
Hexadecimal	0x2258FE

Divisor Catalog (16)

1 2 19 37 38 74 703 1,406 1,601 3,202 30,419 59,237 60,838 118,474 1,125,503 2,251,006

Collatz Trajectory (109 steps to reach 1)

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

2,251,006 1,125,503 3,376,510 1,688,255 5,064,766 2,532,383 7,597,150 3,798,575 11,395,726 5,697,863 17,093,590 8,546,795 25,640,386 12,820,193 38,460,580 19,230,290 9,615,145 28,845,436 14,422,718 7,211,359 21,634,078 10,817,039 32,451,118 16,225,559 48,676,678 24,338,339 73,015,018 36,507,509 109,522,528 54,761,264 27,380,632 13,690,316 6,845,158 3,422,579 10,267,738 5,133,869 15,401,608 7,700,804 3,850,402 1,925,201 5,775,604 2,887,802 1,443,901 4,331,704 2,165,852 1,082,926 541,463 1,624,390 812,195 2,436,586 1,218,293 3,654,880 1,827,440 913,720 456,860 228,430 114,215 342,646 171,323 513,970

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