2,792,607

3 × 17² × 3221

For 2,792,607, the 12 positive divisors have a total of 3,956,616. Removing 2,792,607 leaves 1,164,009, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 17^2 × 3221

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,956,616

Proper Divisor Sum 1,164,009

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2792561 ← → #2792617

Radix Representation

Decimal	2792607
Binary	1010101001110010011111 (22 bits)
Octal	0o12516237
Hexadecimal	0x2A9C9F

Divisor Catalog (12)

1 3 17 51 289 867 3,221 9,663 54,757 164,271 930,869 2,792,607

Collatz Trajectory (138 steps to reach 1)

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

2,792,607 8,377,822 4,188,911 12,566,734 6,283,367 18,850,102 9,425,051 28,275,154 14,137,577 42,412,732 21,206,366 10,603,183 31,809,550 15,904,775 47,714,326 23,857,163 71,571,490 35,785,745 107,357,236 53,678,618 26,839,309 80,517,928 40,258,964 20,129,482 10,064,741 30,194,224 15,097,112 7,548,556 3,774,278 1,887,139 5,661,418 2,830,709 8,492,128 4,246,064 2,123,032 1,061,516 530,758 265,379 796,138 398,069 1,194,208 597,104 298,552 149,276 74,638 37,319 111,958 55,979 167,938 83,969 251,908 125,954 62,977 188,932 94,466 47,233 141,700 70,850 35,425 106,276

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