λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,945,153
36,945,153
34 × 7 × 23 × 2833
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 7 × 23 × 2833
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 65,839,488
Proper Divisor Sum 28,894,335
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36945143 ← → #36945157

Radix Representation

Decimal 36945153
Binary 10001100111011110100000001 (26 bits)
Octal 0o214736401
Hexadecimal 0x233BD01

Divisor Catalog (40)

1 3 7 9 21 23 27 63 69 81 161 189 207 483 567 621 1,449 1,863 2,833 4,347 8,499 13,041 19,831 25,497 59,493 65,159 76,491 178,479 195,477 229,473 456,113 535,437 586,431 1,368,339 1,606,311 1,759,293 4,105,017 5,277,879 12,315,051 36,945,153

Collatz Trajectory (165 steps to reach 1)

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

36,945,153 110,835,460 55,417,730 27,708,865 83,126,596 41,563,298 20,781,649 62,344,948 31,172,474 15,586,237 46,758,712 23,379,356 11,689,678 5,844,839 17,534,518 8,767,259 26,301,778 13,150,889 39,452,668 19,726,334 9,863,167 29,589,502 14,794,751 44,384,254 22,192,127 66,576,382 33,288,191 99,864,574 49,932,287 149,796,862 74,898,431 224,695,294 112,347,647 337,042,942 168,521,471 505,564,414 252,782,207 758,346,622 379,173,311 1,137,519,934 568,759,967 1,706,279,902 853,139,951 2,559,419,854 1,279,709,927 3,839,129,782 1,919,564,891 5,758,694,674 2,879,347,337 8,638,042,012 4,319,021,006 2,159,510,503 6,478,531,510 3,239,265,755 9,717,797,266 4,858,898,633 14,576,695,900 7,288,347,950 3,644,173,975 10,932,521,926

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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