λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,681,982
7,681,982
2 × 7 × 11 × 83 × 601
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 11 × 83 × 601
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,563,584
Proper Divisor Sum 6,881,602
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7681969 ← → #7681991

Radix Representation

Decimal 7681982
Binary 11101010011011110111110 (23 bits)
Octal 0o35233676
Hexadecimal 0x7537BE

Divisor Catalog (32)

1 2 7 11 14 22 77 83 154 166 581 601 913 1,162 1,202 1,826 4,207 6,391 6,611 8,414 12,782 13,222 46,277 49,883 92,554 99,766 349,181 548,713 698,362 1,097,426 3,840,991 7,681,982

Collatz Trajectory (248 steps to reach 1)

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

7,681,982 3,840,991 11,522,974 5,761,487 17,284,462 8,642,231 25,926,694 12,963,347 38,890,042 19,445,021 58,335,064 29,167,532 14,583,766 7,291,883 21,875,650 10,937,825 32,813,476 16,406,738 8,203,369 24,610,108 12,305,054 6,152,527 18,457,582 9,228,791 27,686,374 13,843,187 41,529,562 20,764,781 62,294,344 31,147,172 15,573,586 7,786,793 23,360,380 11,680,190 5,840,095 17,520,286 8,760,143 26,280,430 13,140,215 39,420,646 19,710,323 59,130,970 29,565,485 88,696,456 44,348,228 22,174,114 11,087,057 33,261,172 16,630,586 8,315,293 24,945,880 12,472,940 6,236,470 3,118,235 9,354,706 4,677,353 14,032,060 7,016,030 3,508,015 10,524,046

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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