λ
Sigma Notebook

3,505,750

2 × 53 × 37 × 379
Deficient Even Composite

3,505,750 is even and not a perfect square. Its factorization is 2 × 5^3 × 37 × 379 and its 32 divisors sum to 6,757,920.

Prime Factor Structure

Factorization String 2 × 5^3 × 37 × 379
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,757,920
Proper Divisor Sum 3,252,170
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3505727 ← → #3505751

Radix Representation

Decimal 3505750
Binary 1101010111111001010110 (22 bits)
Octal 0o15277126
Hexadecimal 0x357E56

Divisor Catalog (32)

1 2 5 10 25 37 50 74 125 185 250 370 379 758 925 1,850 1,895 3,790 4,625 9,250 9,475 14,023 18,950 28,046 47,375 70,115 94,750 140,230 350,575 701,150 1,752,875 3,505,750

Collatz Trajectory (177 steps to reach 1)

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

3,505,750 1,752,875 5,258,626 2,629,313 7,887,940 3,943,970 1,971,985 5,915,956 2,957,978 1,478,989 4,436,968 2,218,484 1,109,242 554,621 1,663,864 831,932 415,966 207,983 623,950 311,975 935,926 467,963 1,403,890 701,945 2,105,836 1,052,918 526,459 1,579,378 789,689 2,369,068 1,184,534 592,267 1,776,802 888,401 2,665,204 1,332,602 666,301 1,998,904 999,452 499,726 249,863 749,590 374,795 1,124,386 562,193 1,686,580 843,290 421,645 1,264,936 632,468 316,234 158,117 474,352 237,176 118,588 59,294 29,647 88,942 44,471 133,414

More profiles

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