λ
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Atlas › Integer Profiles › Node 9,107,769

9,107,769

3 × 11 × 29 × 31 × 307
Deficient Odd Composite

9,107,769 factors as 3 × 11 × 29 × 31 × 307. Its 32 positive divisors give a proper-divisor sum of 5,084,871, so this integer is deficient. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 3 × 11 × 29 × 31 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,192,640
Proper Divisor Sum 5,084,871
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9107743 ← → #9107773

Radix Representation

Decimal 9107769
Binary 100010101111100100111001 (24 bits)
Octal 0o42574471
Hexadecimal 0x8AF939

Divisor Catalog (32)

1 3 11 29 31 33 87 93 307 319 341 899 921 957 1,023 2,697 3,377 8,903 9,517 9,889 10,131 26,709 28,551 29,667 97,933 104,687 275,993 293,799 314,061 827,979 3,035,923 9,107,769

Collatz Trajectory (256 steps to reach 1)

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

9,107,769 27,323,308 13,661,654 6,830,827 20,492,482 10,246,241 30,738,724 15,369,362 7,684,681 23,054,044 11,527,022 5,763,511 17,290,534 8,645,267 25,935,802 12,967,901 38,903,704 19,451,852 9,725,926 4,862,963 14,588,890 7,294,445 21,883,336 10,941,668 5,470,834 2,735,417 8,206,252 4,103,126 2,051,563 6,154,690 3,077,345 9,232,036 4,616,018 2,308,009 6,924,028 3,462,014 1,731,007 5,193,022 2,596,511 7,789,534 3,894,767 11,684,302 5,842,151 17,526,454 8,763,227 26,289,682 13,144,841 39,434,524 19,717,262 9,858,631 29,575,894 14,787,947 44,363,842 22,181,921 66,545,764 33,272,882 16,636,441 49,909,324 24,954,662 12,477,331

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