387,736

2³ × 17 × 2851

387,736 is even and not a perfect square. Its factorization is 2^3 × 17 × 2851 and its 16 divisors sum to 770,040.

Prime Factor Structure

Factorization String 2^3 × 17 × 2851

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 770,040

Proper Divisor Sum 382,304

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #387727 ← → #387743

Radix Representation

Decimal	387736
Binary	1011110101010011000 (19 bits)
Octal	0o1365230
Hexadecimal	0x5EA98

Divisor Catalog (16)

1 2 4 8 17 34 68 136 2,851 5,702 11,404 22,808 48,467 96,934 193,868 387,736

Collatz Trajectory (104 steps to reach 1)

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

387,736 193,868 96,934 48,467 145,402 72,701 218,104 109,052 54,526 27,263 81,790 40,895 122,686 61,343 184,030 92,015 276,046 138,023 414,070 207,035 621,106 310,553 931,660 465,830 232,915 698,746 349,373 1,048,120 524,060 262,030 131,015 393,046 196,523 589,570 294,785 884,356 442,178 221,089 663,268 331,634 165,817 497,452 248,726 124,363 373,090 186,545 559,636 279,818 139,909 419,728 209,864 104,932 52,466 26,233 78,700 39,350 19,675 59,026 29,513 88,540

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