36,967,727

827 × 44701

36,967,727 factors as 827 × 44701. Its 4 positive divisors give a proper-divisor sum of 45,529, so this integer is deficient. The Collatz stopping time is 271 steps.

Prime Factor Structure

Factorization String 827 × 44701

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 37,013,256

Proper Divisor Sum 45,529

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #36967703 ← → #36967729

Radix Representation

Decimal	36967727
Binary	10001101000001010100101111 (26 bits)
Octal	0o215012457
Hexadecimal	0x234152F

Divisor Catalog (4)

1 827 44,701 36,967,727

Collatz Trajectory (271 steps to reach 1)

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

36,967,727 110,903,182 55,451,591 166,354,774 83,177,387 249,532,162 124,766,081 374,298,244 187,149,122 93,574,561 280,723,684 140,361,842 70,180,921 210,542,764 105,271,382 52,635,691 157,907,074 78,953,537 236,860,612 118,430,306 59,215,153 177,645,460 88,822,730 44,411,365 133,234,096 66,617,048 33,308,524 16,654,262 8,327,131 24,981,394 12,490,697 37,472,092 18,736,046 9,368,023 28,104,070 14,052,035 42,156,106 21,078,053 63,234,160 31,617,080 15,808,540 7,904,270 3,952,135 11,856,406 5,928,203 17,784,610 8,892,305 26,676,916 13,338,458 6,669,229 20,007,688 10,003,844 5,001,922 2,500,961 7,502,884 3,751,442 1,875,721 5,627,164 2,813,582 1,406,791

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