7,693,049

7² × 13² × 929

7,693,049 factors as 7^2 × 13^2 × 929. Its 18 positive divisors give a proper-divisor sum of 2,007,781, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 7^2 × 13^2 × 929

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 9,700,830

Proper Divisor Sum 2,007,781

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7693039 ← → #7693057

Radix Representation

Decimal	7693049
Binary	11101010110001011111001 (23 bits)
Octal	0o35261371
Hexadecimal	0x7562F9

Divisor Catalog (18)

1 7 13 49 91 169 637 929 1,183 6,503 8,281 12,077 45,521 84,539 157,001 591,773 1,099,007 7,693,049

Collatz Trajectory (124 steps to reach 1)

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

7,693,049 23,079,148 11,539,574 5,769,787 17,309,362 8,654,681 25,964,044 12,982,022 6,491,011 19,473,034 9,736,517 29,209,552 14,604,776 7,302,388 3,651,194 1,825,597 5,476,792 2,738,396 1,369,198 684,599 2,053,798 1,026,899 3,080,698 1,540,349 4,621,048 2,310,524 1,155,262 577,631 1,732,894 866,447 2,599,342 1,299,671 3,899,014 1,949,507 5,848,522 2,924,261 8,772,784 4,386,392 2,193,196 1,096,598 548,299 1,644,898 822,449 2,467,348 1,233,674 616,837 1,850,512 925,256 462,628 231,314 115,657 346,972 173,486 86,743 260,230 130,115 390,346 195,173 585,520 292,760

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