36,929,127

3 × 67 × 269 × 683

36,929,127 factors as 3 × 67 × 269 × 683. Its 16 positive divisors give a proper-divisor sum of 13,303,833, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 3 × 67 × 269 × 683

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 50,232,960

Proper Divisor Sum 13,303,833

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #36929111 ← → #36929129

Radix Representation

Decimal	36929127
Binary	10001100110111111001100111 (26 bits)
Octal	0o214677147
Hexadecimal	0x2337E67

Divisor Catalog (16)

1 3 67 201 269 683 807 2,049 18,023 45,761 54,069 137,283 183,727 551,181 12,309,709 36,929,127

Collatz Trajectory (214 steps to reach 1)

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

36,929,127 110,787,382 55,393,691 166,181,074 83,090,537 249,271,612 124,635,806 62,317,903 186,953,710 93,476,855 280,430,566 140,215,283 420,645,850 210,322,925 630,968,776 315,484,388 157,742,194 78,871,097 236,613,292 118,306,646 59,153,323 177,459,970 88,729,985 266,189,956 133,094,978 66,547,489 199,642,468 99,821,234 49,910,617 149,731,852 74,865,926 37,432,963 112,298,890 56,149,445 168,448,336 84,224,168 42,112,084 21,056,042 10,528,021 31,584,064 15,792,032 7,896,016 3,948,008 1,974,004 987,002 493,501 1,480,504 740,252 370,126 185,063 555,190 277,595 832,786 416,393 1,249,180 624,590 312,295 936,886 468,443 1,405,330

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