λ
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Atlas › Integer Profiles › Node 36,554,385

36,554,385

3 × 5 × 7 × 19 × 73 × 251
Deficient Odd Composite

36,554,385 factors as 3 × 5 × 7 × 19 × 73 × 251. Its 64 positive divisors give a proper-divisor sum of 35,053,935, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 19 × 73 × 251
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 71,608,320
Proper Divisor Sum 35,053,935
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36554351 ← → #36554389

Radix Representation

Decimal 36554385
Binary 10001011011100011010010001 (26 bits)
Octal 0o213343221
Hexadecimal 0x22DC691

Divisor Catalog (60 of 64)

1 3 5 7 15 19 21 35 57 73 95 105 133 219 251 285 365 399 511 665 753 1,095 1,255 1,387 1,533 1,757 1,995 2,555 3,765 4,161 4,769 5,271 6,935 7,665 8,785 9,709 14,307 18,323 20,805 23,845 26,355 29,127 33,383 48,545 54,969 71,535 91,615 100,149 128,261 145,635 166,915 274,845 348,137 384,783 500,745 641,305 1,044,411 1,740,685 1,923,915 2,436,959

Collatz Trajectory (165 steps to reach 1)

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

36,554,385 109,663,156 54,831,578 27,415,789 82,247,368 41,123,684 20,561,842 10,280,921 30,842,764 15,421,382 7,710,691 23,132,074 11,566,037 34,698,112 17,349,056 8,674,528 4,337,264 2,168,632 1,084,316 542,158 271,079 813,238 406,619 1,219,858 609,929 1,829,788 914,894 457,447 1,372,342 686,171 2,058,514 1,029,257 3,087,772 1,543,886 771,943 2,315,830 1,157,915 3,473,746 1,736,873 5,210,620 2,605,310 1,302,655 3,907,966 1,953,983 5,861,950 2,930,975 8,792,926 4,396,463 13,189,390 6,594,695 19,784,086 9,892,043 29,676,130 14,838,065 44,514,196 22,257,098 11,128,549 33,385,648 16,692,824 8,346,412

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