349,928

2³ × 17 × 31 × 83

349,928 is even and not a perfect square. Its factorization is 2^3 × 17 × 31 × 83 and its 32 divisors sum to 725,760.

Prime Factor Structure

Factorization String 2^3 × 17 × 31 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 725,760

Proper Divisor Sum 375,832

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #349927 ← → #349931

Radix Representation

Decimal	349928
Binary	1010101011011101000 (19 bits)
Octal	0o1253350
Hexadecimal	0x556E8

Divisor Catalog (32)

1 2 4 8 17 31 34 62 68 83 124 136 166 248 332 527 664 1,054 1,411 2,108 2,573 2,822 4,216 5,146 5,644 10,292 11,288 20,584 43,741 87,482 174,964 349,928

Collatz Trajectory (122 steps to reach 1)

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

349,928 174,964 87,482 43,741 131,224 65,612 32,806 16,403 49,210 24,605 73,816 36,908 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377

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