387,376

2⁴ × 11 × 31 × 71

387,376 has digital root 7. The neighboring primes are 387371 and 387397; its proper-divisor sum differs from the starting integer by 82,336.

Prime Factor Structure

Factorization String 2^4 × 11 × 31 × 71

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 857,088

Proper Divisor Sum 469,712

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #387371 ← → #387397

Radix Representation

Decimal	387376
Binary	1011110100100110000 (19 bits)
Octal	0o1364460
Hexadecimal	0x5E930

Divisor Catalog (40)

1 2 4 8 11 16 22 31 44 62 71 88 124 142 176 248 284 341 496 568 682 781 1,136 1,364 1,562 2,201 2,728 3,124 4,402 5,456 6,248 8,804 12,496 17,608 24,211 35,216 48,422 96,844 193,688 387,376

Collatz Trajectory (192 steps to reach 1)

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

387,376 193,688 96,844 48,422 24,211 72,634 36,317 108,952 54,476 27,238 13,619 40,858 20,429 61,288 30,644 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573

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