λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,927,396
36,927,396
22 × 32 × 11 × 93251
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 93251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 101,831,184
Proper Divisor Sum 64,903,788
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36927389 ← → #36927403

Radix Representation

Decimal 36927396
Binary 10001100110111011110100100 (26 bits)
Octal 0o214673644
Hexadecimal 0x23377A4

Divisor Catalog (36)

1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 93,251 186,502 279,753 373,004 559,506 839,259 1,025,761 1,119,012 1,678,518 2,051,522 3,077,283 3,357,036 4,103,044 6,154,566 9,231,849 12,309,132 18,463,698 36,927,396

Collatz Trajectory (227 steps to reach 1)

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

36,927,396 18,463,698 9,231,849 27,695,548 13,847,774 6,923,887 20,771,662 10,385,831 31,157,494 15,578,747 46,736,242 23,368,121 70,104,364 35,052,182 17,526,091 52,578,274 26,289,137 78,867,412 39,433,706 19,716,853 59,150,560 29,575,280 14,787,640 7,393,820 3,696,910 1,848,455 5,545,366 2,772,683 8,318,050 4,159,025 12,477,076 6,238,538 3,119,269 9,357,808 4,678,904 2,339,452 1,169,726 584,863 1,754,590 877,295 2,631,886 1,315,943 3,947,830 1,973,915 5,921,746 2,960,873 8,882,620 4,441,310 2,220,655 6,661,966 3,330,983 9,992,950 4,996,475 14,989,426 7,494,713 22,484,140 11,242,070 5,621,035 16,863,106 8,431,553

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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