749,151

3² × 13 × 19 × 337

749,151 is odd and not a perfect square. Its factorization is 3^2 × 13 × 19 × 337 and its 24 divisors sum to 1,230,320.

Prime Factor Structure

Factorization String 3^2 × 13 × 19 × 337

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,230,320

Proper Divisor Sum 481,169

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #749149 ← → #749153

Radix Representation

Decimal	749151
Binary	10110110111001011111 (20 bits)
Octal	0o2667137
Hexadecimal	0xB6E5F

Divisor Catalog (24)

1 3 9 13 19 39 57 117 171 247 337 741 1,011 2,223 3,033 4,381 6,403 13,143 19,209 39,429 57,627 83,239 249,717 749,151

Collatz Trajectory (149 steps to reach 1)

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

749,151 2,247,454 1,123,727 3,371,182 1,685,591 5,056,774 2,528,387 7,585,162 3,792,581 11,377,744 5,688,872 2,844,436 1,422,218 711,109 2,133,328 1,066,664 533,332 266,666 133,333 400,000 200,000 100,000 50,000 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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