λ
Ratio Atlas
Atlas › Integer Profiles › Node 782,820

782,820

22 × 32 × 5 × 4349
Abundant Even Composite

782,820 factors as 2^2 × 3^2 × 5 × 4349. Its 36 positive divisors give a proper-divisor sum of 1,592,280, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 4349
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 2,375,100
Proper Divisor Sum 1,592,280
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #782791 ← → #782839

Radix Representation

Decimal 782820
Binary 10111111000111100100 (20 bits)
Octal 0o2770744
Hexadecimal 0xBF1E4

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4,349 8,698 13,047 17,396 21,745 26,094 39,141 43,490 52,188 65,235 78,282 86,980 130,470 156,564 195,705 260,940 391,410 782,820

Collatz Trajectory (175 steps to reach 1)

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

782,820 391,410 195,705 587,116 293,558 146,779 440,338 220,169 660,508 330,254 165,127 495,382 247,691 743,074 371,537 1,114,612 557,306 278,653 835,960 417,980 208,990 104,495 313,486 156,743 470,230 235,115 705,346 352,673 1,058,020 529,010 264,505 793,516 396,758 198,379 595,138 297,569 892,708 446,354 223,177 669,532 334,766 167,383 502,150 251,075 753,226 376,613 1,129,840 564,920 282,460 141,230 70,615 211,846 105,923 317,770 158,885 476,656 238,328 119,164 59,582 29,791

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #782,819 Browse Full Index Next Integer #782,821 →