λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,507,638
9,507,638
2 × 7 × 19 × 31 × 1153
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 19 × 31 × 1153
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,725,440
Proper Divisor Sum 8,217,802
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9507637 ← → #9507647

Radix Representation

Decimal 9507638
Binary 100100010001001100110110 (24 bits)
Octal 0o44211466
Hexadecimal 0x911336

Divisor Catalog (32)

1 2 7 14 19 31 38 62 133 217 266 434 589 1,153 1,178 2,306 4,123 8,071 8,246 16,142 21,907 35,743 43,814 71,486 153,349 250,201 306,698 500,402 679,117 1,358,234 4,753,819 9,507,638

Collatz Trajectory (124 steps to reach 1)

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

9,507,638 4,753,819 14,261,458 7,130,729 21,392,188 10,696,094 5,348,047 16,044,142 8,022,071 24,066,214 12,033,107 36,099,322 18,049,661 54,148,984 27,074,492 13,537,246 6,768,623 20,305,870 10,152,935 30,458,806 15,229,403 45,688,210 22,844,105 68,532,316 34,266,158 17,133,079 51,399,238 25,699,619 77,098,858 38,549,429 115,648,288 57,824,144 28,912,072 14,456,036 7,228,018 3,614,009 10,842,028 5,421,014 2,710,507 8,131,522 4,065,761 12,197,284 6,098,642 3,049,321 9,147,964 4,573,982 2,286,991 6,860,974 3,430,487 10,291,462 5,145,731 15,437,194 7,718,597 23,155,792 11,577,896 5,788,948 2,894,474 1,447,237 4,341,712 2,170,856

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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