λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,960,420
36,960,420
22 × 3 × 5 × 7 × 88001
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 88001
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 118,274,688
Proper Divisor Sum 81,314,268
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #36960419 ← → #36960437

Radix Representation

Decimal 36960420
Binary 10001100111111100010100100 (26 bits)
Octal 0o214774244
Hexadecimal 0x233F8A4

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 88,001 176,002 264,003 352,004 440,005 528,006 616,007 880,010 1,056,012 1,232,014 1,320,015 1,760,020 1,848,021 2,464,028 2,640,030 3,080,035 3,696,042 5,280,060 6,160,070 7,392,084 9,240,105 12,320,140 18,480,210 36,960,420

Collatz Trajectory (165 steps to reach 1)

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

36,960,420 18,480,210 9,240,105 27,720,316 13,860,158 6,930,079 20,790,238 10,395,119 31,185,358 15,592,679 46,778,038 23,389,019 70,167,058 35,083,529 105,250,588 52,625,294 26,312,647 78,937,942 39,468,971 118,406,914 59,203,457 177,610,372 88,805,186 44,402,593 133,207,780 66,603,890 33,301,945 99,905,836 49,952,918 24,976,459 74,929,378 37,464,689 112,394,068 56,197,034 28,098,517 84,295,552 42,147,776 21,073,888 10,536,944 5,268,472 2,634,236 1,317,118 658,559 1,975,678 987,839 2,963,518 1,481,759 4,445,278 2,222,639 6,667,918 3,333,959 10,001,878 5,000,939 15,002,818 7,501,409 22,504,228 11,252,114 5,626,057 16,878,172 8,439,086

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
← Previous Integer #36,960,419 Browse Full Index Next Integer #36,960,421 →