λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,071,607
10,071,607
72 × 13 × 97 × 163
Deficient Odd Composite

Prime Factor Structure

Factorization String 7^2 × 13 × 97 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,825,456
Proper Divisor Sum 2,753,849
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #10071601 ← → #10071617

Radix Representation

Decimal 10071607
Binary 100110011010111000110111 (24 bits)
Octal 0o46327067
Hexadecimal 0x99AE37

Divisor Catalog (24)

1 7 13 49 91 97 163 637 679 1,141 1,261 2,119 4,753 7,987 8,827 14,833 15,811 61,789 103,831 110,677 205,543 774,739 1,438,801 10,071,607

Collatz Trajectory (207 steps to reach 1)

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

10,071,607 30,214,822 15,107,411 45,322,234 22,661,117 67,983,352 33,991,676 16,995,838 8,497,919 25,493,758 12,746,879 38,240,638 19,120,319 57,360,958 28,680,479 86,041,438 43,020,719 129,062,158 64,531,079 193,593,238 96,796,619 290,389,858 145,194,929 435,584,788 217,792,394 108,896,197 326,688,592 163,344,296 81,672,148 40,836,074 20,418,037 61,254,112 30,627,056 15,313,528 7,656,764 3,828,382 1,914,191 5,742,574 2,871,287 8,613,862 4,306,931 12,920,794 6,460,397 19,381,192 9,690,596 4,845,298 2,422,649 7,267,948 3,633,974 1,816,987 5,450,962 2,725,481 8,176,444 4,088,222 2,044,111 6,132,334 3,066,167 9,198,502 4,599,251 13,797,754

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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