749,178

2 × 3² × 41621

For 749,178, the 12 positive divisors have a total of 1,623,258. Removing 749,178 leaves 874,080, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 41621

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,623,258

Proper Divisor Sum 874,080

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #749171 ← → #749183

Radix Representation

Decimal	749178
Binary	10110110111001111010 (20 bits)
Octal	0o2667172
Hexadecimal	0xB6E7A

Divisor Catalog (12)

1 2 3 6 9 18 41,621 83,242 124,863 249,726 374,589 749,178

Collatz Trajectory (211 steps to reach 1)

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

749,178 374,589 1,123,768 561,884 280,942 140,471 421,414 210,707 632,122 316,061 948,184 474,092 237,046 118,523 355,570 177,785 533,356 266,678 133,339 400,018 200,009 600,028 300,014 150,007 450,022 225,011 675,034 337,517 1,012,552 506,276 253,138 126,569 379,708 189,854 94,927 284,782 142,391 427,174 213,587 640,762 320,381 961,144 480,572 240,286 120,143 360,430 180,215 540,646 270,323 810,970 405,485 1,216,456 608,228 304,114 152,057 456,172 228,086 114,043 342,130 171,065

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