4,390,488

2³ × 3² × 17² × 211

4,390,488 has digital root 9. The neighboring primes are 4390483 and 4390489; its proper-divisor sum differs from the starting integer by 3,910,404.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17^2 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 12,691,380

Proper Divisor Sum 8,300,892

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4390483 ← → #4390489

Radix Representation

Decimal	4390488
Binary	10000101111111001011000 (23 bits)
Octal	0o20577130
Hexadecimal	0x42FE58

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 211 289 306 408 422 578 612 633 844 867 1,156 1,224 1,266 1,688 1,734 1,899 2,312 2,532 2,601 3,468 3,587 3,798 5,064 5,202 6,936 7,174 7,596 10,404 10,761 14,348 15,192 20,808 21,522 28,696 32,283 43,044 60,979 64,566 86,088 121,958

Collatz Trajectory (180 steps to reach 1)

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

4,390,488 2,195,244 1,097,622 548,811 1,646,434 823,217 2,469,652 1,234,826 617,413 1,852,240 926,120 463,060 231,530 115,765 347,296 173,648 86,824 43,412 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776

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