4,398,628

2² × 13 × 84589

4,398,628 has digital root 4. The neighboring primes are 4398623 and 4398637; its proper-divisor sum differs from the starting integer by -507,436.

Prime Factor Structure

Factorization String 2^2 × 13 × 84589

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,289,820

Proper Divisor Sum 3,891,192

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #4398623 ← → #4398637

Radix Representation

Decimal	4398628
Binary	10000110001111000100100 (23 bits)
Octal	0o20617044
Hexadecimal	0x431E24

Divisor Catalog (12)

1 2 4 13 26 52 84,589 169,178 338,356 1,099,657 2,199,314 4,398,628

Collatz Trajectory (180 steps to reach 1)

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

4,398,628 2,199,314 1,099,657 3,298,972 1,649,486 824,743 2,474,230 1,237,115 3,711,346 1,855,673 5,567,020 2,783,510 1,391,755 4,175,266 2,087,633 6,262,900 3,131,450 1,565,725 4,697,176 2,348,588 1,174,294 587,147 1,761,442 880,721 2,642,164 1,321,082 660,541 1,981,624 990,812 495,406 247,703 743,110 371,555 1,114,666 557,333 1,672,000 836,000 418,000 209,000 104,500 52,250 26,125 78,376 39,188 19,594 9,797 29,392 14,696 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776

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