λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,272,744

1,272,744

23 × 32 × 11 × 1607
Abundant Even Composite

1,272,744 factors as 2^3 × 3^2 × 11 × 1607. Its 48 positive divisors give a proper-divisor sum of 2,489,976, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 1607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,762,720
Proper Divisor Sum 2,489,976
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1272679 ← → #1272749

Radix Representation

Decimal 1272744
Binary 100110110101110101000 (21 bits)
Octal 0o4665650
Hexadecimal 0x136BA8

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1,607 3,214 4,821 6,428 9,642 12,856 14,463 17,677 19,284 28,926 35,354 38,568 53,031 57,852 70,708 106,062 115,704 141,416 159,093 212,124 318,186 424,248 636,372 1,272,744

Collatz Trajectory (80 steps to reach 1)

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

1,272,744 636,372 318,186 159,093 477,280 238,640 119,320 59,660 29,830 14,915 44,746 22,373 67,120 33,560 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #1,272,743 Browse Full Index Next Integer #1,272,745 →