λ
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Atlas › Integer Profiles › Node 1,528,824

1,528,824

23 × 3 × 11 × 5791
Abundant Even Composite

1,528,824 factors as 2^3 × 3 × 11 × 5791. Its 32 positive divisors give a proper-divisor sum of 2,641,416, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 5791
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,170,240
Proper Divisor Sum 2,641,416
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1528823 ← → #1528831

Radix Representation

Decimal 1528824
Binary 101110101001111111000 (21 bits)
Octal 0o5651770
Hexadecimal 0x1753F8

Divisor Catalog (32)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 5,791 11,582 17,373 23,164 34,746 46,328 63,701 69,492 127,402 138,984 191,103 254,804 382,206 509,608 764,412 1,528,824

Collatz Trajectory (194 steps to reach 1)

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

1,528,824 764,412 382,206 191,103 573,310 286,655 859,966 429,983 1,289,950 644,975 1,934,926 967,463 2,902,390 1,451,195 4,353,586 2,176,793 6,530,380 3,265,190 1,632,595 4,897,786 2,448,893 7,346,680 3,673,340 1,836,670 918,335 2,755,006 1,377,503 4,132,510 2,066,255 6,198,766 3,099,383 9,298,150 4,649,075 13,947,226 6,973,613 20,920,840 10,460,420 5,230,210 2,615,105 7,845,316 3,922,658 1,961,329 5,883,988 2,941,994 1,470,997 4,412,992 2,206,496 1,103,248 551,624 275,812 137,906 68,953 206,860 103,430 51,715 155,146 77,573 232,720 116,360 58,180

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