2,744,709

3 × 11 × 31 × 2683

For 2,744,709, the 16 positive divisors have a total of 4,122,624. Removing 2,744,709 leaves 1,377,915, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 11 × 31 × 2683

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,122,624

Proper Divisor Sum 1,377,915

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2744699 ← → #2744713

Radix Representation

Decimal	2744709
Binary	1010011110000110000101 (22 bits)
Octal	0o12360605
Hexadecimal	0x29E185

Divisor Catalog (16)

1 3 11 31 33 93 341 1,023 2,683 8,049 29,513 83,173 88,539 249,519 914,903 2,744,709

Collatz Trajectory (156 steps to reach 1)

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

2,744,709 8,234,128 4,117,064 2,058,532 1,029,266 514,633 1,543,900 771,950 385,975 1,157,926 578,963 1,736,890 868,445 2,605,336 1,302,668 651,334 325,667 977,002 488,501 1,465,504 732,752 366,376 183,188 91,594 45,797 137,392 68,696 34,348 17,174 8,587 25,762 12,881 38,644 19,322 9,661 28,984 14,492 7,246 3,623 10,870 5,435 16,306 8,153 24,460 12,230 6,115 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646 323 970 485

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