6,846,002

2 × 17 × 271 × 743

6,846,002 factors as 2 × 17 × 271 × 743. Its 16 positive divisors give a proper-divisor sum of 4,081,870, so this integer is deficient. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2 × 17 × 271 × 743

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,927,872

Proper Divisor Sum 4,081,870

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6845983 ← → #6846017

Radix Representation

Decimal	6846002
Binary	11010000111011000110010 (23 bits)
Octal	0o32073062
Hexadecimal	0x687632

Divisor Catalog (16)

1 2 17 34 271 542 743 1,486 4,607 9,214 12,631 25,262 201,353 402,706 3,423,001 6,846,002

Collatz Trajectory (222 steps to reach 1)

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

6,846,002 3,423,001 10,269,004 5,134,502 2,567,251 7,701,754 3,850,877 11,552,632 5,776,316 2,888,158 1,444,079 4,332,238 2,166,119 6,498,358 3,249,179 9,747,538 4,873,769 14,621,308 7,310,654 3,655,327 10,965,982 5,482,991 16,448,974 8,224,487 24,673,462 12,336,731 37,010,194 18,505,097 55,515,292 27,757,646 13,878,823 41,636,470 20,818,235 62,454,706 31,227,353 93,682,060 46,841,030 23,420,515 70,261,546 35,130,773 105,392,320 52,696,160 26,348,080 13,174,040 6,587,020 3,293,510 1,646,755 4,940,266 2,470,133 7,410,400 3,705,200 1,852,600 926,300 463,150 231,575 694,726 347,363 1,042,090 521,045 1,563,136

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