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Atlas › Integer Profiles › Node 15,175,006

15,175,006

2 × 73 × 11 × 2011
Deficient Even Composite

15,175,006 factors as 2 × 7^3 × 11 × 2011. Its 32 positive divisors give a proper-divisor sum of 13,797,794, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2 × 7^3 × 11 × 2011
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 28,972,800
Proper Divisor Sum 13,797,794
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #15175003 ← → #15175019

Radix Representation

Decimal 15175006
Binary 111001111000110101011110 (24 bits)
Octal 0o71706536
Hexadecimal 0xE78D5E

Divisor Catalog (32)

1 2 7 11 14 22 49 77 98 154 343 539 686 1,078 2,011 3,773 4,022 7,546 14,077 22,121 28,154 44,242 98,539 154,847 197,078 309,694 689,773 1,083,929 1,379,546 2,167,858 7,587,503 15,175,006

Collatz Trajectory (104 steps to reach 1)

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

15,175,006 7,587,503 22,762,510 11,381,255 34,143,766 17,071,883 51,215,650 25,607,825 76,823,476 38,411,738 19,205,869 57,617,608 28,808,804 14,404,402 7,202,201 21,606,604 10,803,302 5,401,651 16,204,954 8,102,477 24,307,432 12,153,716 6,076,858 3,038,429 9,115,288 4,557,644 2,278,822 1,139,411 3,418,234 1,709,117 5,127,352 2,563,676 1,281,838 640,919 1,922,758 961,379 2,884,138 1,442,069 4,326,208 2,163,104 1,081,552 540,776 270,388 135,194 67,597 202,792 101,396 50,698 25,349 76,048 38,024 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674

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