347,997

3 × 13 × 8923

347,997 factors as 3 × 13 × 8923. Its 8 positive divisors give a proper-divisor sum of 151,747, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 3 × 13 × 8923

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 499,744

Proper Divisor Sum 151,747

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #347993 ← → #348001

Radix Representation

Decimal	347997
Binary	1010100111101011101 (19 bits)
Octal	0o1247535
Hexadecimal	0x54F5D

Divisor Catalog (8)

1 3 13 39 8,923 26,769 115,999 347,997

Collatz Trajectory (166 steps to reach 1)

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

347,997 1,043,992 521,996 260,998 130,499 391,498 195,749 587,248 293,624 146,812 73,406 36,703 110,110 55,055 165,166 82,583 247,750 123,875 371,626 185,813 557,440 278,720 139,360 69,680 34,840 17,420 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376

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