349,107

3 × 11 × 71 × 149

349,107 has digital root 6. The neighboring primes are 349099 and 349109; its proper-divisor sum differs from the starting integer by -179,814.

Prime Factor Structure

Factorization String 3 × 11 × 71 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 518,400

Proper Divisor Sum 169,293

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #349099 ← → #349109

Radix Representation

Decimal	349107
Binary	1010101001110110011 (19 bits)
Octal	0o1251663
Hexadecimal	0x553B3

Divisor Catalog (16)

1 3 11 33 71 149 213 447 781 1,639 2,343 4,917 10,579 31,737 116,369 349,107

Collatz Trajectory (60 steps to reach 1)

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

349,107 1,047,322 523,661 1,570,984 785,492 392,746 196,373 589,120 294,560 147,280 73,640 36,820 18,410 9,205 27,616 13,808 6,904 3,452 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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