λ
Prime Ledger

3,607,629

3 × 29 × 41467
Deficient Odd Composite

3,607,629 has the prime decomposition 3 × 29 × 41467. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 29 × 41467
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,976,160
Proper Divisor Sum 1,368,531
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3607627 ← → #3607633

Radix Representation

Decimal 3607629
Binary 1101110000110001001101 (22 bits)
Octal 0o15606115
Hexadecimal 0x370C4D

Divisor Catalog (8)

1 3 29 87 41,467 124,401 1,202,543 3,607,629

Collatz Trajectory (115 steps to reach 1)

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

3,607,629 10,822,888 5,411,444 2,705,722 1,352,861 4,058,584 2,029,292 1,014,646 507,323 1,521,970 760,985 2,282,956 1,141,478 570,739 1,712,218 856,109 2,568,328 1,284,164 642,082 321,041 963,124 481,562 240,781 722,344 361,172 180,586 90,293 270,880 135,440 67,720 33,860 16,930 8,465 25,396 12,698 6,349 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638

More profiles

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