λ
Ratio Atlas
Atlas › Integer Profiles › Node 693,275
693,275
52 × 11 × 2521
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 11 × 2521
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 938,184
Proper Divisor Sum 244,909
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #693257 ← → #693283

Radix Representation

Decimal 693275
Binary 10101001010000011011 (20 bits)
Octal 0o2512033
Hexadecimal 0xA941B

Divisor Catalog (12)

1 5 11 25 55 275 2,521 12,605 27,731 63,025 138,655 693,275

Collatz Trajectory (136 steps to reach 1)

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

693,275 2,079,826 1,039,913 3,119,740 1,559,870 779,935 2,339,806 1,169,903 3,509,710 1,754,855 5,264,566 2,632,283 7,896,850 3,948,425 11,845,276 5,922,638 2,961,319 8,883,958 4,441,979 13,325,938 6,662,969 19,988,908 9,994,454 4,997,227 14,991,682 7,495,841 22,487,524 11,243,762 5,621,881 16,865,644 8,432,822 4,216,411 12,649,234 6,324,617 18,973,852 9,486,926 4,743,463 14,230,390 7,115,195 21,345,586 10,672,793 32,018,380 16,009,190 8,004,595 24,013,786 12,006,893 36,020,680 18,010,340 9,005,170 4,502,585 13,507,756 6,753,878 3,376,939 10,130,818 5,065,409 15,196,228 7,598,114 3,799,057 11,397,172 5,698,586

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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