λ
Ratio Atlas
Atlas › Integer Profiles › Node 44,200,431
44,200,431
33 × 11 × 43 × 3461
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 11 × 43 × 3461
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 73,117,440
Proper Divisor Sum 28,917,009
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #44200427 ← → #44200433

Radix Representation

Decimal 44200431
Binary 10101000100111000111101111 (26 bits)
Octal 0o250470757
Hexadecimal 0x2A271EF

Divisor Catalog (32)

1 3 9 11 27 33 43 99 129 297 387 473 1,161 1,419 3,461 4,257 10,383 12,771 31,149 38,071 93,447 114,213 148,823 342,639 446,469 1,027,917 1,339,407 1,637,053 4,018,221 4,911,159 14,733,477 44,200,431

Collatz Trajectory (98 steps to reach 1)

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

44,200,431 132,601,294 66,300,647 198,901,942 99,450,971 298,352,914 149,176,457 447,529,372 223,764,686 111,882,343 335,647,030 167,823,515 503,470,546 251,735,273 755,205,820 377,602,910 188,801,455 566,404,366 283,202,183 849,606,550 424,803,275 1,274,409,826 637,204,913 1,911,614,740 955,807,370 477,903,685 1,433,711,056 716,855,528 358,427,764 179,213,882 89,606,941 268,820,824 134,410,412 67,205,206 33,602,603 100,807,810 50,403,905 151,211,716 75,605,858 37,802,929 113,408,788 56,704,394 28,352,197 85,056,592 42,528,296 21,264,148 10,632,074 5,316,037 15,948,112 7,974,056 3,987,028 1,993,514 996,757 2,990,272 1,495,136 747,568 373,784 186,892 93,446 46,723

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
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