λ
Integer Codex

4,489,410

2 × 3 × 5 × 263 × 569
Abundant Even Composite

For 4,489,410, the 32 positive divisors have a total of 10,834,560. Removing 4,489,410 leaves 6,345,150, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 263 × 569
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,834,560
Proper Divisor Sum 6,345,150
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4489409 ← → #4489421

Radix Representation

Decimal 4489410
Binary 10001001000000011000010 (23 bits)
Octal 0o21100302
Hexadecimal 0x4480C2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 263 526 569 789 1,138 1,315 1,578 1,707 2,630 2,845 3,414 3,945 5,690 7,890 8,535 17,070 149,647 299,294 448,941 748,235 897,882 1,496,470 2,244,705 4,489,410

Collatz Trajectory (136 steps to reach 1)

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

4,489,410 2,244,705 6,734,116 3,367,058 1,683,529 5,050,588 2,525,294 1,262,647 3,787,942 1,893,971 5,681,914 2,840,957 8,522,872 4,261,436 2,130,718 1,065,359 3,196,078 1,598,039 4,794,118 2,397,059 7,191,178 3,595,589 10,786,768 5,393,384 2,696,692 1,348,346 674,173 2,022,520 1,011,260 505,630 252,815 758,446 379,223 1,137,670 568,835 1,706,506 853,253 2,559,760 1,279,880 639,940 319,970 159,985 479,956 239,978 119,989 359,968 179,984 89,992 44,996 22,498 11,249 33,748 16,874 8,437 25,312 12,656 6,328 3,164 1,582 791

More profiles

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