10,244,080

2⁴ × 5 × 7 × 11 × 1663

10,244,080 factors as 2^4 × 5 × 7 × 11 × 1663. Its 80 positive divisors give a proper-divisor sum of 19,468,304, so this integer is abundant. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 11 × 1663

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 29,712,384

Proper Divisor Sum 19,468,304

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #10244053 ← → #10244089

Radix Representation

Decimal	10244080
Binary	100111000100111111110000 (24 bits)
Octal	0o47047760
Hexadecimal	0x9C4FF0

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1,232 1,540 1,663 3,080 3,326 6,160 6,652 8,315 11,641 13,304 16,630 18,293 23,282 26,608 33,260 36,586 46,564 58,205 66,520 73,172 91,465 93,128 116,410 128,051

Collatz Trajectory (269 steps to reach 1)

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

10,244,080 5,122,040 2,561,020 1,280,510 640,255 1,920,766 960,383 2,881,150 1,440,575 4,321,726 2,160,863 6,482,590 3,241,295 9,723,886 4,861,943 14,585,830 7,292,915 21,878,746 10,939,373 32,818,120 16,409,060 8,204,530 4,102,265 12,306,796 6,153,398 3,076,699 9,230,098 4,615,049 13,845,148 6,922,574 3,461,287 10,383,862 5,191,931 15,575,794 7,787,897 23,363,692 11,681,846 5,840,923 17,522,770 8,761,385 26,284,156 13,142,078 6,571,039 19,713,118 9,856,559 29,569,678 14,784,839 44,354,518 22,177,259 66,531,778 33,265,889 99,797,668 49,898,834 24,949,417 74,848,252 37,424,126 18,712,063 56,136,190 28,068,095 84,204,286

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