λ
Ratio Atlas
Atlas › Integer Profiles › Node 972,015
972,015
3 × 5 × 11 × 43 × 137
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 11 × 43 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,748,736
Proper Divisor Sum 776,721
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #972001 ← → #972017

Radix Representation

Decimal 972015
Binary 11101101010011101111 (20 bits)
Octal 0o3552357
Hexadecimal 0xED4EF

Divisor Catalog (32)

1 3 5 11 15 33 43 55 129 137 165 215 411 473 645 685 1,419 1,507 2,055 2,365 4,521 5,891 7,095 7,535 17,673 22,605 29,455 64,801 88,365 194,403 324,005 972,015

Collatz Trajectory (245 steps to reach 1)

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

972,015 2,916,046 1,458,023 4,374,070 2,187,035 6,561,106 3,280,553 9,841,660 4,920,830 2,460,415 7,381,246 3,690,623 11,071,870 5,535,935 16,607,806 8,303,903 24,911,710 12,455,855 37,367,566 18,683,783 56,051,350 28,025,675 84,077,026 42,038,513 126,115,540 63,057,770 31,528,885 94,586,656 47,293,328 23,646,664 11,823,332 5,911,666 2,955,833 8,867,500 4,433,750 2,216,875 6,650,626 3,325,313 9,975,940 4,987,970 2,493,985 7,481,956 3,740,978 1,870,489 5,611,468 2,805,734 1,402,867 4,208,602 2,104,301 6,312,904 3,156,452 1,578,226 789,113 2,367,340 1,183,670 591,835 1,775,506 887,753 2,663,260 1,331,630

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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