λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,272,015
1,272,015
32 × 5 × 23 × 1229
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 23 × 1229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,302,560
Proper Divisor Sum 1,030,545
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1272001 ← → #1272043

Radix Representation

Decimal 1272015
Binary 100110110100011001111 (21 bits)
Octal 0o4664317
Hexadecimal 0x1368CF

Divisor Catalog (24)

1 3 5 9 15 23 45 69 115 207 345 1,035 1,229 3,687 6,145 11,061 18,435 28,267 55,305 84,801 141,335 254,403 424,005 1,272,015

Collatz Trajectory (129 steps to reach 1)

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

1,272,015 3,816,046 1,908,023 5,724,070 2,862,035 8,586,106 4,293,053 12,879,160 6,439,580 3,219,790 1,609,895 4,829,686 2,414,843 7,244,530 3,622,265 10,866,796 5,433,398 2,716,699 8,150,098 4,075,049 12,225,148 6,112,574 3,056,287 9,168,862 4,584,431 13,753,294 6,876,647 20,629,942 10,314,971 30,944,914 15,472,457 46,417,372 23,208,686 11,604,343 34,813,030 17,406,515 52,219,546 26,109,773 78,329,320 39,164,660 19,582,330 9,791,165 29,373,496 14,686,748 7,343,374 3,671,687 11,015,062 5,507,531 16,522,594 8,261,297 24,783,892 12,391,946 6,195,973 18,587,920 9,293,960 4,646,980 2,323,490 1,161,745 3,485,236 1,742,618

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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