λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,680,315
8,680,315
5 × 7 × 23 × 41 × 263
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 23 × 41 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,773,376
Proper Divisor Sum 4,093,061
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8680313 ← → #8680327

Radix Representation

Decimal 8680315
Binary 100001000111001101111011 (24 bits)
Octal 0o41071573
Hexadecimal 0x84737B

Divisor Catalog (32)

1 5 7 23 35 41 115 161 205 263 287 805 943 1,315 1,435 1,841 4,715 6,049 6,601 9,205 10,783 30,245 33,005 42,343 53,915 75,481 211,715 248,009 377,405 1,240,045 1,736,063 8,680,315

Collatz Trajectory (212 steps to reach 1)

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

8,680,315 26,040,946 13,020,473 39,061,420 19,530,710 9,765,355 29,296,066 14,648,033 43,944,100 21,972,050 10,986,025 32,958,076 16,479,038 8,239,519 24,718,558 12,359,279 37,077,838 18,538,919 55,616,758 27,808,379 83,425,138 41,712,569 125,137,708 62,568,854 31,284,427 93,853,282 46,926,641 140,779,924 70,389,962 35,194,981 105,584,944 52,792,472 26,396,236 13,198,118 6,599,059 19,797,178 9,898,589 29,695,768 14,847,884 7,423,942 3,711,971 11,135,914 5,567,957 16,703,872 8,351,936 4,175,968 2,087,984 1,043,992 521,996 260,998 130,499 391,498 195,749 587,248 293,624 146,812 73,406 36,703 110,110 55,055

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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