2,994,300

2² × 3³ × 5² × 1109

2,994,300 factors as 2^2 × 3^3 × 5^2 × 1109. Its 72 positive divisors give a proper-divisor sum of 6,640,500, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5^2 × 1109

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 9,634,800

Proper Divisor Sum 6,640,500

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2994281 ← → #2994311

Radix Representation

Decimal	2994300
Binary	1011011011000001111100 (22 bits)
Octal	0o13330174
Hexadecimal	0x2DB07C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1,109 1,350 2,218 2,700 3,327 4,436 5,545 6,654 9,981 11,090 13,308 16,635 19,962 22,180 27,725 29,943 33,270 39,924 49,905 55,450 59,886 66,540 83,175 99,810 110,900 119,772

Collatz Trajectory (164 steps to reach 1)

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

2,994,300 1,497,150 748,575 2,245,726 1,122,863 3,368,590 1,684,295 5,052,886 2,526,443 7,579,330 3,789,665 11,368,996 5,684,498 2,842,249 8,526,748 4,263,374 2,131,687 6,395,062 3,197,531 9,592,594 4,796,297 14,388,892 7,194,446 3,597,223 10,791,670 5,395,835 16,187,506 8,093,753 24,281,260 12,140,630 6,070,315 18,210,946 9,105,473 27,316,420 13,658,210 6,829,105 20,487,316 10,243,658 5,121,829 15,365,488 7,682,744 3,841,372 1,920,686 960,343 2,881,030 1,440,515 4,321,546 2,160,773 6,482,320 3,241,160 1,620,580 810,290 405,145 1,215,436 607,718 303,859 911,578 455,789 1,367,368 683,684

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