λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,938,835
36,938,835
34 × 5 × 223 × 409
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 5 × 223 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 66,675,840
Proper Divisor Sum 29,737,005
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36938821 ← → #36938843

Radix Representation

Decimal 36938835
Binary 10001100111010010001010011 (26 bits)
Octal 0o214722123
Hexadecimal 0x233A453

Divisor Catalog (40)

1 3 5 9 15 27 45 81 135 223 405 409 669 1,115 1,227 2,007 2,045 3,345 3,681 6,021 6,135 10,035 11,043 18,063 18,405 30,105 33,129 55,215 90,315 91,207 165,645 273,621 456,035 820,863 1,368,105 2,462,589 4,104,315 7,387,767 12,312,945 36,938,835

Collatz Trajectory (214 steps to reach 1)

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

36,938,835 110,816,506 55,408,253 166,224,760 83,112,380 41,556,190 20,778,095 62,334,286 31,167,143 93,501,430 46,750,715 140,252,146 70,126,073 210,378,220 105,189,110 52,594,555 157,783,666 78,891,833 236,675,500 118,337,750 59,168,875 177,506,626 88,753,313 266,259,940 133,129,970 66,564,985 199,694,956 99,847,478 49,923,739 149,771,218 74,885,609 224,656,828 112,328,414 56,164,207 168,492,622 84,246,311 252,738,934 126,369,467 379,108,402 189,554,201 568,662,604 284,331,302 142,165,651 426,496,954 213,248,477 639,745,432 319,872,716 159,936,358 79,968,179 239,904,538 119,952,269 359,856,808 179,928,404 89,964,202 44,982,101 134,946,304 67,473,152 33,736,576 16,868,288 8,434,144

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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