3,836,352

2⁶ × 3 × 13 × 29 × 53

For 3,836,352, the 112 positive divisors have a total of 11,521,440. Removing 3,836,352 leaves 7,685,088, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^6 × 3 × 13 × 29 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 11,521,440

Proper Divisor Sum 7,685,088

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3836341 ← → #3836359

Radix Representation

Decimal	3836352
Binary	1110101000100111000000 (22 bits)
Octal	0o16504700
Hexadecimal	0x3A89C0

Divisor Catalog (60 of 112)

1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 53 58 64 78 87 96 104 106 116 156 159 174 192 208 212 232 312 318 348 377 416 424 464 624 636 689 696 754 832 848 928 1,131 1,248 1,272 1,378 1,392 1,508 1,537 1,696 1,856 2,067 2,262 2,496 2,544

Collatz Trajectory (71 steps to reach 1)

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

3,836,352 1,918,176 959,088 479,544 239,772 119,886 59,943 179,830 89,915 269,746 134,873 404,620 202,310 101,155 303,466 151,733 455,200 227,600 113,800 56,900 28,450 14,225 42,676 21,338 10,669 32,008 16,004 8,002 4,001 12,004 6,002 3,001 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113

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