3,736,896

2⁶ × 3 × 19463

3,736,896 has digital root 6. The neighboring primes are 3736877 and 3736927; its proper-divisor sum differs from the starting integer by 2,413,920.

Prime Factor Structure

Factorization String 2^6 × 3 × 19463

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 9,887,712

Proper Divisor Sum 6,150,816

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3736877 ← → #3736927

Radix Representation

Decimal	3736896
Binary	1110010000010101000000 (22 bits)
Octal	0o16202500
Hexadecimal	0x390540

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 19,463 38,926 58,389 77,852 116,778 155,704 233,556 311,408 467,112 622,816 934,224 1,245,632 1,868,448 3,736,896

Collatz Trajectory (53 steps to reach 1)

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

3,736,896 1,868,448 934,224 467,112 233,556 116,778 58,389 175,168 87,584 43,792 21,896 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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