3,350,802

2 × 3 × 7 × 13 × 17 × 19²

3,350,802 has digital root 3. The neighboring primes are 3350779 and 3350803; its proper-divisor sum differs from the starting integer by 2,515,548.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 17 × 19^2

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 9,217,152

Proper Divisor Sum 5,866,350

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3350779 ← → #3350803

Radix Representation

Decimal	3350802
Binary	1100110010000100010010 (22 bits)
Octal	0o14620422
Hexadecimal	0x332112

Divisor Catalog (60 of 96)

1 2 3 6 7 13 14 17 19 21 26 34 38 39 42 51 57 78 91 102 114 119 133 182 221 238 247 266 273 323 357 361 399 442 494 546 646 663 714 722 741 798 969 1,083 1,326 1,482 1,547 1,729 1,938 2,166 2,261 2,527 3,094 3,458 4,199 4,522 4,641 4,693 5,054 5,187

Collatz Trajectory (164 steps to reach 1)

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

3,350,802 1,675,401 5,026,204 2,513,102 1,256,551 3,769,654 1,884,827 5,654,482 2,827,241 8,481,724 4,240,862 2,120,431 6,361,294 3,180,647 9,541,942 4,770,971 14,312,914 7,156,457 21,469,372 10,734,686 5,367,343 16,102,030 8,051,015 24,153,046 12,076,523 36,229,570 18,114,785 54,344,356 27,172,178 13,586,089 40,758,268 20,379,134 10,189,567 30,568,702 15,284,351 45,853,054 22,926,527 68,779,582 34,389,791 103,169,374 51,584,687 154,754,062 77,377,031 232,131,094 116,065,547 348,196,642 174,098,321 522,294,964 261,147,482 130,573,741 391,721,224 195,860,612 97,930,306 48,965,153 146,895,460 73,447,730 36,723,865 110,171,596 55,085,798 27,542,899

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