10,072,440

2³ × 3² × 5 × 7² × 571

10,072,440 factors as 2^3 × 3^2 × 5 × 7^2 × 571. Its 144 positive divisors give a proper-divisor sum of 28,074,240, so this integer is abundant. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7^2 × 571

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 38,146,680

Proper Divisor Sum 28,074,240

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #10072423 ← → #10072453

Radix Representation

Decimal	10072440
Binary	100110011011000101111000 (24 bits)
Octal	0o46330570
Hexadecimal	0x99B178

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 571 588 630 735 840 882 980

Collatz Trajectory (282 steps to reach 1)

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

10,072,440 5,036,220 2,518,110 1,259,055 3,777,166 1,888,583 5,665,750 2,832,875 8,498,626 4,249,313 12,747,940 6,373,970 3,186,985 9,560,956 4,780,478 2,390,239 7,170,718 3,585,359 10,756,078 5,378,039 16,134,118 8,067,059 24,201,178 12,100,589 36,301,768 18,150,884 9,075,442 4,537,721 13,613,164 6,806,582 3,403,291 10,209,874 5,104,937 15,314,812 7,657,406 3,828,703 11,486,110 5,743,055 17,229,166 8,614,583 25,843,750 12,921,875 38,765,626 19,382,813 58,148,440 29,074,220 14,537,110 7,268,555 21,805,666 10,902,833 32,708,500 16,354,250 8,177,125 24,531,376 12,265,688 6,132,844 3,066,422 1,533,211 4,599,634 2,299,817

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