3,926,736

2⁴ × 3² × 11 × 37 × 67

3,926,736 factors as 2^4 × 3^2 × 11 × 37 × 67. Its 120 positive divisors give a proper-divisor sum of 8,569,488, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 11 × 37 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 12,496,224

Proper Divisor Sum 8,569,488

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3926731 ← → #3926737

Radix Representation

Decimal	3926736
Binary	1110111110101011010000 (22 bits)
Octal	0o16765320
Hexadecimal	0x3BEAD0

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 37 44 48 66 67 72 74 88 99 111 132 134 144 148 176 198 201 222 264 268 296 333 396 402 407 444 528 536 592 603 666 737 792 804 814 888 1,072 1,206 1,221 1,332 1,474 1,584 1,608 1,628 1,776

Collatz Trajectory (185 steps to reach 1)

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

3,926,736 1,963,368 981,684 490,842 245,421 736,264 368,132 184,066 92,033 276,100 138,050 69,025 207,076 103,538 51,769 155,308 77,654 38,827 116,482 58,241 174,724 87,362 43,681 131,044 65,522 32,761 98,284 49,142 24,571 73,714 36,857 110,572 55,286 27,643 82,930 41,465 124,396 62,198 31,099 93,298 46,649 139,948 69,974 34,987 104,962 52,481 157,444 78,722 39,361 118,084 59,042 29,521 88,564 44,282 22,141 66,424 33,212 16,606 8,303 24,910

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