λ
Ratio Atlas
Atlas › Integer Profiles › Node 35,577,458
35,577,458
2 × 7 × 23 × 313 × 353
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 23 × 313 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 64,025,856
Proper Divisor Sum 28,448,398
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #35577439 ← → #35577473

Radix Representation

Decimal 35577458
Binary 10000111101101111001110010 (26 bits)
Octal 0o207557162
Hexadecimal 0x21EDE72

Divisor Catalog (32)

1 2 7 14 23 46 161 313 322 353 626 706 2,191 2,471 4,382 4,942 7,199 8,119 14,398 16,238 50,393 56,833 100,786 110,489 113,666 220,978 773,423 1,546,846 2,541,247 5,082,494 17,788,729 35,577,458

Collatz Trajectory (144 steps to reach 1)

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

35,577,458 17,788,729 53,366,188 26,683,094 13,341,547 40,024,642 20,012,321 60,036,964 30,018,482 15,009,241 45,027,724 22,513,862 11,256,931 33,770,794 16,885,397 50,656,192 25,328,096 12,664,048 6,332,024 3,166,012 1,583,006 791,503 2,374,510 1,187,255 3,561,766 1,780,883 5,342,650 2,671,325 8,013,976 4,006,988 2,003,494 1,001,747 3,005,242 1,502,621 4,507,864 2,253,932 1,126,966 563,483 1,690,450 845,225 2,535,676 1,267,838 633,919 1,901,758 950,879 2,852,638 1,426,319 4,278,958 2,139,479 6,418,438 3,209,219 9,627,658 4,813,829 14,441,488 7,220,744 3,610,372 1,805,186 902,593 2,707,780 1,353,890

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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