λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,071,972
10,071,972
22 × 33 × 179 × 521
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 179 × 521
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,308,800
Proper Divisor Sum 16,236,828
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10071923 ← → #10071979

Radix Representation

Decimal 10071972
Binary 100110011010111110100100 (24 bits)
Octal 0o46327644
Hexadecimal 0x99AFA4

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 108 179 358 521 537 716 1,042 1,074 1,563 1,611 2,084 2,148 3,126 3,222 4,689 4,833 6,252 6,444 9,378 9,666 14,067 18,756 19,332 28,134 56,268 93,259 186,518 279,777 373,036 559,554 839,331 1,119,108 1,678,662 2,517,993 3,357,324 5,035,986 10,071,972

Collatz Trajectory (282 steps to reach 1)

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

10,071,972 5,035,986 2,517,993 7,553,980 3,776,990 1,888,495 5,665,486 2,832,743 8,498,230 4,249,115 12,747,346 6,373,673 19,121,020 9,560,510 4,780,255 14,340,766 7,170,383 21,511,150 10,755,575 32,266,726 16,133,363 48,400,090 24,200,045 72,600,136 36,300,068 18,150,034 9,075,017 27,225,052 13,612,526 6,806,263 20,418,790 10,209,395 30,628,186 15,314,093 45,942,280 22,971,140 11,485,570 5,742,785 17,228,356 8,614,178 4,307,089 12,921,268 6,460,634 3,230,317 9,690,952 4,845,476 2,422,738 1,211,369 3,634,108 1,817,054 908,527 2,725,582 1,362,791 4,088,374 2,044,187 6,132,562 3,066,281 9,198,844 4,599,422 2,299,711

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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