λ
Integer Codex

3,737,331

32 × 13 × 17 × 1879
Deficient Odd Composite

For 3,737,331, the 24 positive divisors have a total of 6,158,880. Removing 3,737,331 leaves 2,421,549, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 13 × 17 × 1879
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,158,880
Proper Divisor Sum 2,421,549
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3737323 ← → #3737347

Radix Representation

Decimal 3737331
Binary 1110010000011011110011 (22 bits)
Octal 0o16203363
Hexadecimal 0x3906F3

Divisor Catalog (24)

1 3 9 13 17 39 51 117 153 221 663 1,879 1,989 5,637 16,911 24,427 31,943 73,281 95,829 219,843 287,487 415,259 1,245,777 3,737,331

Collatz Trajectory (133 steps to reach 1)

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

3,737,331 11,211,994 5,605,997 16,817,992 8,408,996 4,204,498 2,102,249 6,306,748 3,153,374 1,576,687 4,730,062 2,365,031 7,095,094 3,547,547 10,642,642 5,321,321 15,963,964 7,981,982 3,990,991 11,972,974 5,986,487 17,959,462 8,979,731 26,939,194 13,469,597 40,408,792 20,204,396 10,102,198 5,051,099 15,153,298 7,576,649 22,729,948 11,364,974 5,682,487 17,047,462 8,523,731 25,571,194 12,785,597 38,356,792 19,178,396 9,589,198 4,794,599 14,383,798 7,191,899 21,575,698 10,787,849 32,363,548 16,181,774 8,090,887 24,272,662 12,136,331 36,408,994 18,204,497 54,613,492 27,306,746 13,653,373 40,960,120 20,480,060 10,240,030 5,120,015

More profiles

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