λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,736,735
1,736,735
5 × 7 × 11 × 13 × 347
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 11 × 13 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,806,272
Proper Divisor Sum 1,069,537
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1736729 ← → #1736759

Radix Representation

Decimal 1736735
Binary 110101000000000011111 (21 bits)
Octal 0o6500037
Hexadecimal 0x1A801F

Divisor Catalog (32)

1 5 7 11 13 35 55 65 77 91 143 347 385 455 715 1,001 1,735 2,429 3,817 4,511 5,005 12,145 19,085 22,555 26,719 31,577 49,621 133,595 157,885 248,105 347,347 1,736,735

Collatz Trajectory (132 steps to reach 1)

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

1,736,735 5,210,206 2,605,103 7,815,310 3,907,655 11,722,966 5,861,483 17,584,450 8,792,225 26,376,676 13,188,338 6,594,169 19,782,508 9,891,254 4,945,627 14,836,882 7,418,441 22,255,324 11,127,662 5,563,831 16,691,494 8,345,747 25,037,242 12,518,621 37,555,864 18,777,932 9,388,966 4,694,483 14,083,450 7,041,725 21,125,176 10,562,588 5,281,294 2,640,647 7,921,942 3,960,971 11,882,914 5,941,457 17,824,372 8,912,186 4,456,093 13,368,280 6,684,140 3,342,070 1,671,035 5,013,106 2,506,553 7,519,660 3,759,830 1,879,915 5,639,746 2,819,873 8,459,620 4,229,810 2,114,905 6,344,716 3,172,358 1,586,179 4,758,538 2,379,269

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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