10,249,980

2² × 3 × 5 × 13 × 17 × 773

10,249,980 factors as 2^2 × 3 × 5 × 13 × 17 × 773. Its 96 positive divisors give a proper-divisor sum of 22,518,084, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13 × 17 × 773

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 32,768,064

Proper Divisor Sum 22,518,084

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #10249979 ← → #10250017

Radix Representation

Decimal	10249980
Binary	100111000110011011111100 (24 bits)
Octal	0o47063374
Hexadecimal	0x9C66FC

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 773 780 884 1,020 1,105 1,326 1,546 2,210 2,319 2,652 3,092 3,315 3,865 4,420 4,638 6,630 7,730 9,276 10,049 11,595 13,141 13,260 15,460

Collatz Trajectory (220 steps to reach 1)

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

10,249,980 5,124,990 2,562,495 7,687,486 3,843,743 11,531,230 5,765,615 17,296,846 8,648,423 25,945,270 12,972,635 38,917,906 19,458,953 58,376,860 29,188,430 14,594,215 43,782,646 21,891,323 65,673,970 32,836,985 98,510,956 49,255,478 24,627,739 73,883,218 36,941,609 110,824,828 55,412,414 27,706,207 83,118,622 41,559,311 124,677,934 62,338,967 187,016,902 93,508,451 280,525,354 140,262,677 420,788,032 210,394,016 105,197,008 52,598,504 26,299,252 13,149,626 6,574,813 19,724,440 9,862,220 4,931,110 2,465,555 7,396,666 3,698,333 11,095,000 5,547,500 2,773,750 1,386,875 4,160,626 2,080,313 6,240,940 3,120,470 1,560,235 4,680,706 2,340,353

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #10,249,979 Browse Full Index Next Integer #10,249,981 →