λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,654,675
7,654,675
52 × 7 × 17 × 31 × 83
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 7 × 17 × 31 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,999,232
Proper Divisor Sum 4,344,557
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7654649 ← → #7654679

Radix Representation

Decimal 7654675
Binary 11101001100110100010011 (23 bits)
Octal 0o35146423
Hexadecimal 0x74CD13

Divisor Catalog (48)

1 5 7 17 25 31 35 83 85 119 155 175 217 415 425 527 581 595 775 1,085 1,411 2,075 2,573 2,635 2,905 2,975 3,689 5,425 7,055 9,877 12,865 13,175 14,525 18,011 18,445 35,275 43,741 49,385 64,325 90,055 92,225 218,705 246,925 306,187 450,275 1,093,525 1,530,935 7,654,675

Collatz Trajectory (310 steps to reach 1)

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

7,654,675 22,964,026 11,482,013 34,446,040 17,223,020 8,611,510 4,305,755 12,917,266 6,458,633 19,375,900 9,687,950 4,843,975 14,531,926 7,265,963 21,797,890 10,898,945 32,696,836 16,348,418 8,174,209 24,522,628 12,261,314 6,130,657 18,391,972 9,195,986 4,597,993 13,793,980 6,896,990 3,448,495 10,345,486 5,172,743 15,518,230 7,759,115 23,277,346 11,638,673 34,916,020 17,458,010 8,729,005 26,187,016 13,093,508 6,546,754 3,273,377 9,820,132 4,910,066 2,455,033 7,365,100 3,682,550 1,841,275 5,523,826 2,761,913 8,285,740 4,142,870 2,071,435 6,214,306 3,107,153 9,321,460 4,660,730 2,330,365 6,991,096 3,495,548 1,747,774

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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