2,625,147

3² × 7 × 41669

For 2,625,147, the 12 positive divisors have a total of 4,333,680. Removing 2,625,147 leaves 1,708,533, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 7 × 41669

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,333,680

Proper Divisor Sum 1,708,533

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2625137 ← → #2625149

Radix Representation

Decimal	2625147
Binary	1010000000111001111011 (22 bits)
Octal	0o12007173
Hexadecimal	0x280E7B

Divisor Catalog (12)

1 3 7 9 21 63 41,669 125,007 291,683 375,021 875,049 2,625,147

Collatz Trajectory (68 steps to reach 1)

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

2,625,147 7,875,442 3,937,721 11,813,164 5,906,582 2,953,291 8,859,874 4,429,937 13,289,812 6,644,906 3,322,453 9,967,360 4,983,680 2,491,840 1,245,920 622,960 311,480 155,740 77,870 38,935 116,806 58,403 175,210 87,605 262,816 131,408 65,704 32,852 16,426 8,213 24,640 12,320 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80

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