λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,907,960
3,907,960
23 × 5 × 7 × 17 × 821
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 17 × 821
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,653,120
Proper Divisor Sum 6,745,160
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3907957 ← → #3907963

Radix Representation

Decimal 3907960
Binary 1110111010000101111000 (22 bits)
Octal 0o16720570
Hexadecimal 0x3BA178

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 821 952 1,190 1,642 2,380 3,284 4,105 4,760 5,747 6,568 8,210 11,494 13,957 16,420 22,988 27,914 28,735 32,840 45,976 55,828 57,470 69,785 97,699 111,656 114,940 139,570 195,398 229,880 279,140 390,796 488,495 558,280

Collatz Trajectory (185 steps to reach 1)

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

3,907,960 1,953,980 976,990 488,495 1,465,486 732,743 2,198,230 1,099,115 3,297,346 1,648,673 4,946,020 2,473,010 1,236,505 3,709,516 1,854,758 927,379 2,782,138 1,391,069 4,173,208 2,086,604 1,043,302 521,651 1,564,954 782,477 2,347,432 1,173,716 586,858 293,429 880,288 440,144 220,072 110,036 55,018 27,509 82,528 41,264 20,632 10,316 5,158 2,579 7,738 3,869 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138

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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