3,008,772

2² × 3³ × 13 × 2143

For 3,008,772, the 48 positive divisors have a total of 8,404,480. Removing 3,008,772 leaves 5,395,708, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 13 × 2143

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,404,480

Proper Divisor Sum 5,395,708

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3008743 ← → #3008773

Radix Representation

Decimal	3008772
Binary	1011011110100100000100 (22 bits)
Octal	0o13364404
Hexadecimal	0x2DE904

Divisor Catalog (48)

1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1,404 2,143 4,286 6,429 8,572 12,858 19,287 25,716 27,859 38,574 55,718 57,861 77,148 83,577 111,436 115,722 167,154 231,444 250,731 334,308 501,462 752,193 1,002,924 1,504,386 3,008,772

Collatz Trajectory (182 steps to reach 1)

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

3,008,772 1,504,386 752,193 2,256,580 1,128,290 564,145 1,692,436 846,218 423,109 1,269,328 634,664 317,332 158,666 79,333 238,000 119,000 59,500 29,750 14,875 44,626 22,313 66,940 33,470 16,735 50,206 25,103 75,310 37,655 112,966 56,483 169,450 84,725 254,176 127,088 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620 26,810 13,405 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184

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