3,638,480

2⁴ × 5 × 45481

For 3,638,480, the 20 positive divisors have a total of 8,459,652. Removing 3,638,480 leaves 4,821,172, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 5 × 45481

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 8,459,652

Proper Divisor Sum 4,821,172

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3638477 ← → #3638489

Radix Representation

Decimal	3638480
Binary	1101111000010011010000 (22 bits)
Octal	0o15702320
Hexadecimal	0x3784D0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 45,481 90,962 181,924 227,405 363,848 454,810 727,696 909,620 1,819,240 3,638,480

Collatz Trajectory (110 steps to reach 1)

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

3,638,480 1,819,240 909,620 454,810 227,405 682,216 341,108 170,554 85,277 255,832 127,916 63,958 31,979 95,938 47,969 143,908 71,954 35,977 107,932 53,966 26,983 80,950 40,475 121,426 60,713 182,140 91,070 45,535 136,606 68,303 204,910 102,455 307,366 153,683 461,050 230,525 691,576 345,788 172,894 86,447 259,342 129,671 389,014 194,507 583,522 291,761 875,284 437,642 218,821 656,464 328,232 164,116 82,058 41,029 123,088 61,544 30,772 15,386 7,693 23,080

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