λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,071,222
10,071,222
2 × 3 × 7 × 61 × 3931
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 61 × 3931
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,403,264
Proper Divisor Sum 13,332,042
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #10071211 ← → #10071223

Radix Representation

Decimal 10071222
Binary 100110011010110010110110 (24 bits)
Octal 0o46326266
Hexadecimal 0x99ACB6

Divisor Catalog (32)

1 2 3 6 7 14 21 42 61 122 183 366 427 854 1,281 2,562 3,931 7,862 11,793 23,586 27,517 55,034 82,551 165,102 239,791 479,582 719,373 1,438,746 1,678,537 3,357,074 5,035,611 10,071,222

Collatz Trajectory (207 steps to reach 1)

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

10,071,222 5,035,611 15,106,834 7,553,417 22,660,252 11,330,126 5,665,063 16,995,190 8,497,595 25,492,786 12,746,393 38,239,180 19,119,590 9,559,795 28,679,386 14,339,693 43,019,080 21,509,540 10,754,770 5,377,385 16,132,156 8,066,078 4,033,039 12,099,118 6,049,559 18,148,678 9,074,339 27,223,018 13,611,509 40,834,528 20,417,264 10,208,632 5,104,316 2,552,158 1,276,079 3,828,238 1,914,119 5,742,358 2,871,179 8,613,538 4,306,769 12,920,308 6,460,154 3,230,077 9,690,232 4,845,116 2,422,558 1,211,279 3,633,838 1,816,919 5,450,758 2,725,379 8,176,138 4,088,069 12,264,208 6,132,104 3,066,052 1,533,026 766,513 2,299,540

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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