348,764

2² × 13 × 19 × 353

For 348,764, the 24 positive divisors have a total of 693,840. Removing 348,764 leaves 345,076, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 13 × 19 × 353

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 693,840

Proper Divisor Sum 345,076

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #348763 ← → #348769

Radix Representation

Decimal	348764
Binary	1010101001001011100 (19 bits)
Octal	0o1251134
Hexadecimal	0x5525C

Divisor Catalog (24)

1 2 4 13 19 26 38 52 76 247 353 494 706 988 1,412 4,589 6,707 9,178 13,414 18,356 26,828 87,191 174,382 348,764

Collatz Trajectory (166 steps to reach 1)

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

348,764 174,382 87,191 261,574 130,787 392,362 196,181 588,544 294,272 147,136 73,568 36,784 18,392 9,196 4,598 2,299 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376

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