λ
Sigma Notebook

3,607,833

3 × 37 × 32503
Deficient Odd Composite

3,607,833 is odd and not a perfect square. Its factorization is 3 × 37 × 32503 and its 8 divisors sum to 4,940,608.

Prime Factor Structure

Factorization String 3 × 37 × 32503
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,940,608
Proper Divisor Sum 1,332,775
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3607831 ← → #3607837

Radix Representation

Decimal 3607833
Binary 1101110000110100011001 (22 bits)
Octal 0o15606431
Hexadecimal 0x370D19

Divisor Catalog (8)

1 3 37 111 32,503 97,509 1,202,611 3,607,833

Collatz Trajectory (115 steps to reach 1)

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

3,607,833 10,823,500 5,411,750 2,705,875 8,117,626 4,058,813 12,176,440 6,088,220 3,044,110 1,522,055 4,566,166 2,283,083 6,849,250 3,424,625 10,273,876 5,136,938 2,568,469 7,705,408 3,852,704 1,926,352 963,176 481,588 240,794 120,397 361,192 180,596 90,298 45,149 135,448 67,724 33,862 16,931 50,794 25,397 76,192 38,096 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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