3,732,458

2 × 47 × 59 × 673

For 3,732,458, the 16 positive divisors have a total of 5,823,360. Removing 3,732,458 leaves 2,090,902, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 47 × 59 × 673

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,823,360

Proper Divisor Sum 2,090,902

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3732439 ← → #3732461

Radix Representation

Decimal	3732458
Binary	1110001111001111101010 (22 bits)
Octal	0o16171752
Hexadecimal	0x38F3EA

Divisor Catalog (16)

1 2 47 59 94 118 673 1,346 2,773 5,546 31,631 39,707 63,262 79,414 1,866,229 3,732,458

Collatz Trajectory (234 steps to reach 1)

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

3,732,458 1,866,229 5,598,688 2,799,344 1,399,672 699,836 349,918 174,959 524,878 262,439 787,318 393,659 1,180,978 590,489 1,771,468 885,734 442,867 1,328,602 664,301 1,992,904 996,452 498,226 249,113 747,340 373,670 186,835 560,506 280,253 840,760 420,380 210,190 105,095 315,286 157,643 472,930 236,465 709,396 354,698 177,349 532,048 266,024 133,012 66,506 33,253 99,760 49,880 24,940 12,470 6,235 18,706 9,353 28,060 14,030 7,015 21,046 10,523 31,570 15,785 47,356 23,678

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