λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,748,830
9,748,830
2 × 3 × 5 × 7 × 13 × 3571
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 13 × 3571
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 28,804,608
Proper Divisor Sum 19,055,778
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9748819 ← → #9748859

Radix Representation

Decimal 9748830
Binary 100101001100000101011110 (24 bits)
Octal 0o45140536
Hexadecimal 0x94C15E

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1,365 2,730 3,571 7,142 10,713 17,855 21,426 24,997 35,710 46,423 49,994 53,565 74,991 92,846 107,130 124,985 139,269 149,982 232,115 249,970 278,538 324,961 374,955 464,230 649,922 696,345 749,910 974,883 1,392,690 1,624,805

Collatz Trajectory (150 steps to reach 1)

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

9,748,830 4,874,415 14,623,246 7,311,623 21,934,870 10,967,435 32,902,306 16,451,153 49,353,460 24,676,730 12,338,365 37,015,096 18,507,548 9,253,774 4,626,887 13,880,662 6,940,331 20,820,994 10,410,497 31,231,492 15,615,746 7,807,873 23,423,620 11,711,810 5,855,905 17,567,716 8,783,858 4,391,929 13,175,788 6,587,894 3,293,947 9,881,842 4,940,921 14,822,764 7,411,382 3,705,691 11,117,074 5,558,537 16,675,612 8,337,806 4,168,903 12,506,710 6,253,355 18,760,066 9,380,033 28,140,100 14,070,050 7,035,025 21,105,076 10,552,538 5,276,269 15,828,808 7,914,404 3,957,202 1,978,601 5,935,804 2,967,902 1,483,951 4,451,854 2,225,927

Active Feeder Network

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

Feeder #8,365,252 Feeder #1,448,561 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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