λ
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Atlas › Integer Profiles › Node 869,715

869,715

32 × 5 × 7 × 11 × 251
Abundant Odd Composite

869,715 factors as 3^2 × 5 × 7 × 11 × 251. Its 48 positive divisors give a proper-divisor sum of 1,017,261, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 11 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,886,976
Proper Divisor Sum 1,017,261
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #869707 ← → #869717

Radix Representation

Decimal 869715
Binary 11010100010101010011 (20 bits)
Octal 0o3242523
Hexadecimal 0xD4553

Divisor Catalog (48)

1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 251 315 385 495 693 753 1,155 1,255 1,757 2,259 2,761 3,465 3,765 5,271 8,283 8,785 11,295 13,805 15,813 19,327 24,849 26,355 41,415 57,981 79,065 96,635 124,245 173,943 289,905 869,715

Collatz Trajectory (157 steps to reach 1)

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

869,715 2,609,146 1,304,573 3,913,720 1,956,860 978,430 489,215 1,467,646 733,823 2,201,470 1,100,735 3,302,206 1,651,103 4,953,310 2,476,655 7,429,966 3,714,983 11,144,950 5,572,475 16,717,426 8,358,713 25,076,140 12,538,070 6,269,035 18,807,106 9,403,553 28,210,660 14,105,330 7,052,665 21,157,996 10,578,998 5,289,499 15,868,498 7,934,249 23,802,748 11,901,374 5,950,687 17,852,062 8,926,031 26,778,094 13,389,047 40,167,142 20,083,571 60,250,714 30,125,357 90,376,072 45,188,036 22,594,018 11,297,009 33,891,028 16,945,514 8,472,757 25,418,272 12,709,136 6,354,568 3,177,284 1,588,642 794,321 2,382,964 1,191,482

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