2,497,628

2² × 7² × 12743

2,497,628 factors as 2^2 × 7^2 × 12743. Its 18 positive divisors give a proper-divisor sum of 2,587,228, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 12743

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 5,084,856

Proper Divisor Sum 2,587,228

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #2497609 ← → #2497631

Radix Representation

Decimal	2497628
Binary	1001100001110001011100 (22 bits)
Octal	0o11416134
Hexadecimal	0x261C5C

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 12,743 25,486 50,972 89,201 178,402 356,804 624,407 1,248,814 2,497,628

Collatz Trajectory (143 steps to reach 1)

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

2,497,628 1,248,814 624,407 1,873,222 936,611 2,809,834 1,404,917 4,214,752 2,107,376 1,053,688 526,844 263,422 131,711 395,134 197,567 592,702 296,351 889,054 444,527 1,333,582 666,791 2,000,374 1,000,187 3,000,562 1,500,281 4,500,844 2,250,422 1,125,211 3,375,634 1,687,817 5,063,452 2,531,726 1,265,863 3,797,590 1,898,795 5,696,386 2,848,193 8,544,580 4,272,290 2,136,145 6,408,436 3,204,218 1,602,109 4,806,328 2,403,164 1,201,582 600,791 1,802,374 901,187 2,703,562 1,351,781 4,055,344 2,027,672 1,013,836 506,918 253,459 760,378 380,189 1,140,568 570,284

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