2,701,984

2⁵ × 84437

For 2,701,984, the 12 positive divisors have a total of 5,319,594. Removing 2,701,984 leaves 2,617,610, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^5 × 84437

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,319,594

Proper Divisor Sum 2,617,610

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2701969 ← → #2701987

Radix Representation

Decimal	2701984
Binary	1010010011101010100000 (22 bits)
Octal	0o12235240
Hexadecimal	0x293AA0

Divisor Catalog (12)

1 2 4 8 16 32 84,437 168,874 337,748 675,496 1,350,992 2,701,984

Collatz Trajectory (156 steps to reach 1)

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

2,701,984 1,350,992 675,496 337,748 168,874 84,437 253,312 126,656 63,328 31,664 15,832 7,916 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485

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