λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,926,901
36,926,901
33 × 112 × 89 × 127
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 11^2 × 89 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 61,286,400
Proper Divisor Sum 24,359,499
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36926893 ← → #36926909

Radix Representation

Decimal 36926901
Binary 10001100110111010110110101 (26 bits)
Octal 0o214672665
Hexadecimal 0x23375B5

Divisor Catalog (48)

1 3 9 11 27 33 89 99 121 127 267 297 363 381 801 979 1,089 1,143 1,397 2,403 2,937 3,267 3,429 4,191 8,811 10,769 11,303 12,573 15,367 26,433 32,307 33,909 37,719 46,101 96,921 101,727 124,333 138,303 290,763 305,181 372,999 414,909 1,118,997 1,367,663 3,356,991 4,102,989 12,308,967 36,926,901

Collatz Trajectory (188 steps to reach 1)

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

36,926,901 110,780,704 55,390,352 27,695,176 13,847,588 6,923,794 3,461,897 10,385,692 5,192,846 2,596,423 7,789,270 3,894,635 11,683,906 5,841,953 17,525,860 8,762,930 4,381,465 13,144,396 6,572,198 3,286,099 9,858,298 4,929,149 14,787,448 7,393,724 3,696,862 1,848,431 5,545,294 2,772,647 8,317,942 4,158,971 12,476,914 6,238,457 18,715,372 9,357,686 4,678,843 14,036,530 7,018,265 21,054,796 10,527,398 5,263,699 15,791,098 7,895,549 23,686,648 11,843,324 5,921,662 2,960,831 8,882,494 4,441,247 13,323,742 6,661,871 19,985,614 9,992,807 29,978,422 14,989,211 44,967,634 22,483,817 67,451,452 33,725,726 16,862,863 50,588,590

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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