λ
Ratio Atlas

7,784,401

59 × 131939
Deficient Odd Composite

7,784,401 factors as 59 × 131939. Its 4 positive divisors give a proper-divisor sum of 131,999, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 59 × 131939
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,916,400
Proper Divisor Sum 131,999
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7784389 ← → #7784407

Radix Representation

Decimal 7784401
Binary 11101101100011111010001 (23 bits)
Octal 0o35543721
Hexadecimal 0x76C7D1

Divisor Catalog (4)

1 59 131,939 7,784,401

Collatz Trajectory (173 steps to reach 1)

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

7,784,401 23,353,204 11,676,602 5,838,301 17,514,904 8,757,452 4,378,726 2,189,363 6,568,090 3,284,045 9,852,136 4,926,068 2,463,034 1,231,517 3,694,552 1,847,276 923,638 461,819 1,385,458 692,729 2,078,188 1,039,094 519,547 1,558,642 779,321 2,337,964 1,168,982 584,491 1,753,474 876,737 2,630,212 1,315,106 657,553 1,972,660 986,330 493,165 1,479,496 739,748 369,874 184,937 554,812 277,406 138,703 416,110 208,055 624,166 312,083 936,250 468,125 1,404,376 702,188 351,094 175,547 526,642 263,321 789,964 394,982 197,491 592,474 296,237

More profiles

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