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Atlas › Integer Profiles › Node 28,569,016

28,569,016

23 × 7 × 191 × 2671
Abundant Even Composite

28,569,016 factors as 2^3 × 7 × 191 × 2671. Its 32 positive divisors give a proper-divisor sum of 32,993,864, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 191 × 2671
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 61,562,880
Proper Divisor Sum 32,993,864
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #28568987 ← → #28569017

Radix Representation

Decimal 28569016
Binary 1101100111110110110111000 (25 bits)
Octal 0o154766670
Hexadecimal 0x1B3EDB8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 191 382 764 1,337 1,528 2,671 2,674 5,342 5,348 10,684 10,696 18,697 21,368 37,394 74,788 149,576 510,161 1,020,322 2,040,644 3,571,127 4,081,288 7,142,254 14,284,508 28,569,016

Collatz Trajectory (100 steps to reach 1)

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

28,569,016 14,284,508 7,142,254 3,571,127 10,713,382 5,356,691 16,070,074 8,035,037 24,105,112 12,052,556 6,026,278 3,013,139 9,039,418 4,519,709 13,559,128 6,779,564 3,389,782 1,694,891 5,084,674 2,542,337 7,627,012 3,813,506 1,906,753 5,720,260 2,860,130 1,430,065 4,290,196 2,145,098 1,072,549 3,217,648 1,608,824 804,412 402,206 201,103 603,310 301,655 904,966 452,483 1,357,450 678,725 2,036,176 1,018,088 509,044 254,522 127,261 381,784 190,892 95,446 47,723 143,170 71,585 214,756 107,378 53,689 161,068 80,534 40,267 120,802 60,401 181,204

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