749,166

2 × 3 × 11 × 11351

749,166 factors as 2 × 3 × 11 × 11351. Its 16 positive divisors give a proper-divisor sum of 885,522, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 11351

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,634,688

Proper Divisor Sum 885,522

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #749153 ← → #749167

Radix Representation

Decimal	749166
Binary	10110110111001101110 (20 bits)
Octal	0o2667156
Hexadecimal	0xB6E6E

Divisor Catalog (16)

1 2 3 6 11 22 33 66 11,351 22,702 34,053 68,106 124,861 249,722 374,583 749,166

Collatz Trajectory (74 steps to reach 1)

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

749,166 374,583 1,123,750 561,875 1,685,626 842,813 2,528,440 1,264,220 632,110 316,055 948,166 474,083 1,422,250 711,125 2,133,376 1,066,688 533,344 266,672 133,336 66,668 33,334 16,667 50,002 25,001 75,004 37,502 18,751 56,254 28,127 84,382 42,191 126,574 63,287 189,862 94,931 284,794 142,397 427,192 213,596 106,798 53,399 160,198 80,099 240,298 120,149 360,448 180,224 90,112 45,056 22,528 11,264 5,632 2,816 1,408 704 352 176 88 44 22

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