3,737,796

2² × 3 × 67 × 4649

For 3,737,796, the 24 positive divisors have a total of 8,853,600. Removing 3,737,796 leaves 5,115,804, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 67 × 4649

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,853,600

Proper Divisor Sum 5,115,804

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3737791 ← → #3737821

Radix Representation

Decimal	3737796
Binary	1110010000100011000100 (22 bits)
Octal	0o16204304
Hexadecimal	0x3908C4

Divisor Catalog (24)

1 2 3 4 6 12 67 134 201 268 402 804 4,649 9,298 13,947 18,596 27,894 55,788 311,483 622,966 934,449 1,245,932 1,868,898 3,737,796

Collatz Trajectory (141 steps to reach 1)

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

3,737,796 1,868,898 934,449 2,803,348 1,401,674 700,837 2,102,512 1,051,256 525,628 262,814 131,407 394,222 197,111 591,334 295,667 887,002 443,501 1,330,504 665,252 332,626 166,313 498,940 249,470 124,735 374,206 187,103 561,310 280,655 841,966 420,983 1,262,950 631,475 1,894,426 947,213 2,841,640 1,420,820 710,410 355,205 1,065,616 532,808 266,404 133,202 66,601 199,804 99,902 49,951 149,854 74,927 224,782 112,391 337,174 168,587 505,762 252,881 758,644 379,322 189,661 568,984 284,492 142,246

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