λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,586,845

7,586,845

5 × 7 × 17 × 41 × 311
Deficient Odd Composite

7,586,845 factors as 5 × 7 × 17 × 41 × 311. Its 32 positive divisors give a proper-divisor sum of 3,735,011, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 5 × 7 × 17 × 41 × 311
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,321,856
Proper Divisor Sum 3,735,011
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7586837 ← → #7586857

Radix Representation

Decimal 7586845
Binary 11100111100010000011101 (23 bits)
Octal 0o34742035
Hexadecimal 0x73C41D

Divisor Catalog (32)

1 5 7 17 35 41 85 119 205 287 311 595 697 1,435 1,555 2,177 3,485 4,879 5,287 10,885 12,751 24,395 26,435 37,009 63,755 89,257 185,045 216,767 446,285 1,083,835 1,517,369 7,586,845

Collatz Trajectory (204 steps to reach 1)

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

7,586,845 22,760,536 11,380,268 5,690,134 2,845,067 8,535,202 4,267,601 12,802,804 6,401,402 3,200,701 9,602,104 4,801,052 2,400,526 1,200,263 3,600,790 1,800,395 5,401,186 2,700,593 8,101,780 4,050,890 2,025,445 6,076,336 3,038,168 1,519,084 759,542 379,771 1,139,314 569,657 1,708,972 854,486 427,243 1,281,730 640,865 1,922,596 961,298 480,649 1,441,948 720,974 360,487 1,081,462 540,731 1,622,194 811,097 2,433,292 1,216,646 608,323 1,824,970 912,485 2,737,456 1,368,728 684,364 342,182 171,091 513,274 256,637 769,912 384,956 192,478 96,239 288,718

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,586,844 Browse Full Index Next Integer #7,586,846 →