λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,416,631
6,416,631
33 × 13 × 101 × 181
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 13 × 101 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,395,840
Proper Divisor Sum 3,979,209
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6416629 ← → #6416653

Radix Representation

Decimal 6416631
Binary 11000011110100011110111 (23 bits)
Octal 0o30364367
Hexadecimal 0x61E8F7

Divisor Catalog (32)

1 3 9 13 27 39 101 117 181 303 351 543 909 1,313 1,629 2,353 2,727 3,939 4,887 7,059 11,817 18,281 21,177 35,451 54,843 63,531 164,529 237,653 493,587 712,959 2,138,877 6,416,631

Collatz Trajectory (178 steps to reach 1)

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

6,416,631 19,249,894 9,624,947 28,874,842 14,437,421 43,312,264 21,656,132 10,828,066 5,414,033 16,242,100 8,121,050 4,060,525 12,181,576 6,090,788 3,045,394 1,522,697 4,568,092 2,284,046 1,142,023 3,426,070 1,713,035 5,139,106 2,569,553 7,708,660 3,854,330 1,927,165 5,781,496 2,890,748 1,445,374 722,687 2,168,062 1,084,031 3,252,094 1,626,047 4,878,142 2,439,071 7,317,214 3,658,607 10,975,822 5,487,911 16,463,734 8,231,867 24,695,602 12,347,801 37,043,404 18,521,702 9,260,851 27,782,554 13,891,277 41,673,832 20,836,916 10,418,458 5,209,229 15,627,688 7,813,844 3,906,922 1,953,461 5,860,384 2,930,192 1,465,096

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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