2,640,000

2⁷ × 3 × 5⁴ × 11

For 2,640,000, the 160 positive divisors have a total of 9,559,440. Removing 2,640,000 leaves 6,919,440, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^7 × 3 × 5^4 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 9,559,440

Proper Divisor Sum 6,919,440

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #2639999 ← → #2640013

Radix Representation

Decimal	2640000
Binary	1010000100100010000000 (22 bits)
Octal	0o12044200
Hexadecimal	0x284880

Divisor Catalog (60 of 160)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 125 128 132 150 160 165 176 192 200 220 240 250 264 275 300 320 330 352 375 384 400 440 480 500 528 550

Collatz Trajectory (94 steps to reach 1)

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

2,640,000 1,320,000 660,000 330,000 165,000 82,500 41,250 20,625 61,876 30,938 15,469 46,408 23,204 11,602 5,801 17,404 8,702 4,351 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794

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