6,804,117

3² × 211 × 3583

6,804,117 has the prime decomposition 3^2 × 211 × 3583. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 211 × 3583

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,877,504

Proper Divisor Sum 3,073,387

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6804103 ← → #6804121

Radix Representation

Decimal	6804117
Binary	11001111101001010010101 (23 bits)
Octal	0o31751225
Hexadecimal	0x67D295

Divisor Catalog (12)

1 3 9 211 633 1,899 3,583 10,749 32,247 756,013 2,268,039 6,804,117

Collatz Trajectory (253 steps to reach 1)

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

6,804,117 20,412,352 10,206,176 5,103,088 2,551,544 1,275,772 637,886 318,943 956,830 478,415 1,435,246 717,623 2,152,870 1,076,435 3,229,306 1,614,653 4,843,960 2,421,980 1,210,990 605,495 1,816,486 908,243 2,724,730 1,362,365 4,087,096 2,043,548 1,021,774 510,887 1,532,662 766,331 2,298,994 1,149,497 3,448,492 1,724,246 862,123 2,586,370 1,293,185 3,879,556 1,939,778 969,889 2,909,668 1,454,834 727,417 2,182,252 1,091,126 545,563 1,636,690 818,345 2,455,036 1,227,518 613,759 1,841,278 920,639 2,761,918 1,380,959 4,142,878 2,071,439 6,214,318 3,107,159 9,321,478

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