λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,371,768
12,371,768
23 × 97 × 107 × 149
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 97 × 107 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,814,000
Proper Divisor Sum 11,442,232
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #12371761 ← → #12371789

Radix Representation

Decimal 12371768
Binary 101111001100011100111000 (24 bits)
Octal 0o57143470
Hexadecimal 0xBCC738

Divisor Catalog (32)

1 2 4 8 97 107 149 194 214 298 388 428 596 776 856 1,192 10,379 14,453 15,943 20,758 28,906 31,886 41,516 57,812 63,772 83,032 115,624 127,544 1,546,471 3,092,942 6,185,884 12,371,768

Collatz Trajectory (166 steps to reach 1)

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

12,371,768 6,185,884 3,092,942 1,546,471 4,639,414 2,319,707 6,959,122 3,479,561 10,438,684 5,219,342 2,609,671 7,829,014 3,914,507 11,743,522 5,871,761 17,615,284 8,807,642 4,403,821 13,211,464 6,605,732 3,302,866 1,651,433 4,954,300 2,477,150 1,238,575 3,715,726 1,857,863 5,573,590 2,786,795 8,360,386 4,180,193 12,540,580 6,270,290 3,135,145 9,405,436 4,702,718 2,351,359 7,054,078 3,527,039 10,581,118 5,290,559 15,871,678 7,935,839 23,807,518 11,903,759 35,711,278 17,855,639 53,566,918 26,783,459 80,350,378 40,175,189 120,525,568 60,262,784 30,131,392 15,065,696 7,532,848 3,766,424 1,883,212 941,606 470,803

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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