2,749,322

2 × 37 × 53 × 701

2,749,322 factors as 2 × 37 × 53 × 701. Its 16 positive divisors give a proper-divisor sum of 1,572,190, so this integer is deficient. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 2 × 37 × 53 × 701

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,321,512

Proper Divisor Sum 1,572,190

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2749309 ← → #2749339

Radix Representation

Decimal	2749322
Binary	1010011111001110001010 (22 bits)
Octal	0o12371612
Hexadecimal	0x29F38A

Divisor Catalog (16)

1 2 37 53 74 106 701 1,402 1,961 3,922 25,937 37,153 51,874 74,306 1,374,661 2,749,322

Collatz Trajectory (81 steps to reach 1)

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

2,749,322 1,374,661 4,123,984 2,061,992 1,030,996 515,498 257,749 773,248 386,624 193,312 96,656 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488

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