3,635,248

2⁴ × 127 × 1789

For 3,635,248, the 20 positive divisors have a total of 7,102,720. Removing 3,635,248 leaves 3,467,472, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^4 × 127 × 1789

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 7,102,720

Proper Divisor Sum 3,467,472

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3635243 ← → #3635257

Radix Representation

Decimal	3635248
Binary	1101110111100000110000 (22 bits)
Octal	0o15674060
Hexadecimal	0x377830

Divisor Catalog (20)

1 2 4 8 16 127 254 508 1,016 1,789 2,032 3,578 7,156 14,312 28,624 227,203 454,406 908,812 1,817,624 3,635,248

Collatz Trajectory (110 steps to reach 1)

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

3,635,248 1,817,624 908,812 454,406 227,203 681,610 340,805 1,022,416 511,208 255,604 127,802 63,901 191,704 95,852 47,926 23,963 71,890 35,945 107,836 53,918 26,959 80,878 40,439 121,318 60,659 181,978 90,989 272,968 136,484 68,242 34,121 102,364 51,182 25,591 76,774 38,387 115,162 57,581 172,744 86,372 43,186 21,593 64,780 32,390 16,195 48,586 24,293 72,880 36,440 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844

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