λ
Ratio Atlas
Atlas › Integer Profiles › Node 831,827
831,827
17 × 167 × 293
Deficient Odd Composite

Prime Factor Structure

Factorization String 17 × 167 × 293
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 889,056
Proper Divisor Sum 57,229
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #831821 ← → #831829

Radix Representation

Decimal 831827
Binary 11001011000101010011 (20 bits)
Octal 0o3130523
Hexadecimal 0xCB153

Divisor Catalog (8)

1 17 167 293 2,839 4,981 48,931 831,827

Collatz Trajectory (237 steps to reach 1)

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

831,827 2,495,482 1,247,741 3,743,224 1,871,612 935,806 467,903 1,403,710 701,855 2,105,566 1,052,783 3,158,350 1,579,175 4,737,526 2,368,763 7,106,290 3,553,145 10,659,436 5,329,718 2,664,859 7,994,578 3,997,289 11,991,868 5,995,934 2,997,967 8,993,902 4,496,951 13,490,854 6,745,427 20,236,282 10,118,141 30,354,424 15,177,212 7,588,606 3,794,303 11,382,910 5,691,455 17,074,366 8,537,183 25,611,550 12,805,775 38,417,326 19,208,663 57,625,990 28,812,995 86,438,986 43,219,493 129,658,480 64,829,240 32,414,620 16,207,310 8,103,655 24,310,966 12,155,483 36,466,450 18,233,225 54,699,676 27,349,838 13,674,919 41,024,758

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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