317,648

2⁴ × 19853

317,648 has digital root 2. The neighboring primes are 317621 and 317651; its proper-divisor sum differs from the starting integer by -19,822.

Prime Factor Structure

Factorization String 2^4 × 19853

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 615,474

Proper Divisor Sum 297,826

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #317621 ← → #317651

Radix Representation

Decimal	317648
Binary	1001101100011010000 (19 bits)
Octal	0o1154320
Hexadecimal	0x4D8D0

Divisor Catalog (10)

1 2 4 8 16 19,853 39,706 79,412 158,824 317,648

Collatz Trajectory (47 steps to reach 1)

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

317,648 158,824 79,412 39,706 19,853 59,560 29,780 14,890 7,445 22,336 11,168 5,584 2,792 1,396 698 349 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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