λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,454,142
4,454,142
2 × 3 × 7 × 11 × 31 × 311
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 31 × 311
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,501,568
Proper Divisor Sum 7,047,426
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4454141 ← → #4454147

Radix Representation

Decimal 4454142
Binary 10000111111011011111110 (23 bits)
Octal 0o20773376
Hexadecimal 0x43F6FE

Divisor Catalog (60 of 64)

1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 186 217 231 311 341 434 462 622 651 682 933 1,023 1,302 1,866 2,046 2,177 2,387 3,421 4,354 4,774 6,531 6,842 7,161 9,641 10,263 13,062 14,322 19,282 20,526 23,947 28,923 47,894 57,846 67,487 71,841 106,051 134,974 143,682 202,461 212,102 318,153 404,922 636,306

Collatz Trajectory (118 steps to reach 1)

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

4,454,142 2,227,071 6,681,214 3,340,607 10,021,822 5,010,911 15,032,734 7,516,367 22,549,102 11,274,551 33,823,654 16,911,827 50,735,482 25,367,741 76,103,224 38,051,612 19,025,806 9,512,903 28,538,710 14,269,355 42,808,066 21,404,033 64,212,100 32,106,050 16,053,025 48,159,076 24,079,538 12,039,769 36,119,308 18,059,654 9,029,827 27,089,482 13,544,741 40,634,224 20,317,112 10,158,556 5,079,278 2,539,639 7,618,918 3,809,459 11,428,378 5,714,189 17,142,568 8,571,284 4,285,642 2,142,821 6,428,464 3,214,232 1,607,116 803,558 401,779 1,205,338 602,669 1,808,008 904,004 452,002 226,001 678,004 339,002 169,501

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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