λ
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Atlas › Integer Profiles › Node 10,567,115

10,567,115

5 × 13 × 17 × 73 × 131
Deficient Odd Composite

10,567,115 factors as 5 × 13 × 17 × 73 × 131. Its 32 positive divisors give a proper-divisor sum of 4,202,101, so this integer is deficient. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 5 × 13 × 17 × 73 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,769,216
Proper Divisor Sum 4,202,101
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #10567111 ← → #10567147

Radix Representation

Decimal 10567115
Binary 101000010011110111001011 (24 bits)
Octal 0o50236713
Hexadecimal 0xA13DCB

Divisor Catalog (32)

1 5 13 17 65 73 85 131 221 365 655 949 1,105 1,241 1,703 2,227 4,745 6,205 8,515 9,563 11,135 16,133 28,951 47,815 80,665 124,319 144,755 162,571 621,595 812,855 2,113,423 10,567,115

Collatz Trajectory (171 steps to reach 1)

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

10,567,115 31,701,346 15,850,673 47,552,020 23,776,010 11,888,005 35,664,016 17,832,008 8,916,004 4,458,002 2,229,001 6,687,004 3,343,502 1,671,751 5,015,254 2,507,627 7,522,882 3,761,441 11,284,324 5,642,162 2,821,081 8,463,244 4,231,622 2,115,811 6,347,434 3,173,717 9,521,152 4,760,576 2,380,288 1,190,144 595,072 297,536 148,768 74,384 37,192 18,596 9,298 4,649 13,948 6,974 3,487 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048

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