λ
Math Directory

3,331,011

3 × 179 × 6203
Deficient Odd Composite

3,331,011 factors as 3 × 179 × 6203. Its 8 positive divisors give a proper-divisor sum of 1,135,869, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 3 × 179 × 6203
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,466,880
Proper Divisor Sum 1,135,869
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #3331001 ← → #3331033

Radix Representation

Decimal 3331011
Binary 1100101101001111000011 (22 bits)
Octal 0o14551703
Hexadecimal 0x32D3C3

Divisor Catalog (8)

1 3 179 537 6,203 18,609 1,110,337 3,331,011

Collatz Trajectory (177 steps to reach 1)

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

3,331,011 9,993,034 4,996,517 14,989,552 7,494,776 3,747,388 1,873,694 936,847 2,810,542 1,405,271 4,215,814 2,107,907 6,323,722 3,161,861 9,485,584 4,742,792 2,371,396 1,185,698 592,849 1,778,548 889,274 444,637 1,333,912 666,956 333,478 166,739 500,218 250,109 750,328 375,164 187,582 93,791 281,374 140,687 422,062 211,031 633,094 316,547 949,642 474,821 1,424,464 712,232 356,116 178,058 89,029 267,088 133,544 66,772 33,386 16,693 50,080 25,040 12,520 6,260 3,130 1,565 4,696 2,348 1,174 587

More profiles

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