λ
Prime Ledger

7,100,841

3 × 11 × 107 × 2011
Deficient Odd Composite

7,100,841 has the prime decomposition 3 × 11 × 107 × 2011. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 107 × 2011
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,430,208
Proper Divisor Sum 3,329,367
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7100839 ← → #7100843

Radix Representation

Decimal 7100841
Binary 11011000101100110101001 (23 bits)
Octal 0o33054651
Hexadecimal 0x6C59A9

Divisor Catalog (16)

1 3 11 33 107 321 1,177 2,011 3,531 6,033 22,121 66,363 215,177 645,531 2,366,947 7,100,841

Collatz Trajectory (222 steps to reach 1)

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

7,100,841 21,302,524 10,651,262 5,325,631 15,976,894 7,988,447 23,965,342 11,982,671 35,948,014 17,974,007 53,922,022 26,961,011 80,883,034 40,441,517 121,324,552 60,662,276 30,331,138 15,165,569 45,496,708 22,748,354 11,374,177 34,122,532 17,061,266 8,530,633 25,591,900 12,795,950 6,397,975 19,193,926 9,596,963 28,790,890 14,395,445 43,186,336 21,593,168 10,796,584 5,398,292 2,699,146 1,349,573 4,048,720 2,024,360 1,012,180 506,090 253,045 759,136 379,568 189,784 94,892 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040

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