λ
Ratio Atlas
Atlas › Integer Profiles › Node 44,051,175
44,051,175
33 × 52 × 7 × 9323
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5^2 × 7 × 9323
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 92,494,080
Proper Divisor Sum 48,442,905
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #44051167 ← → #44051191

Radix Representation

Decimal 44051175
Binary 10101000000010101011100111 (26 bits)
Octal 0o250025347
Hexadecimal 0x2A02AE7

Divisor Catalog (48)

1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1,575 4,725 9,323 27,969 46,615 65,261 83,907 139,845 195,783 233,075 251,721 326,305 419,535 587,349 699,225 978,915 1,258,605 1,631,525 1,762,047 2,097,675 2,936,745 4,894,575 6,293,025 8,810,235 14,683,725 44,051,175

Collatz Trajectory (142 steps to reach 1)

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

44,051,175 132,153,526 66,076,763 198,230,290 99,115,145 297,345,436 148,672,718 74,336,359 223,009,078 111,504,539 334,513,618 167,256,809 501,770,428 250,885,214 125,442,607 376,327,822 188,163,911 564,491,734 282,245,867 846,737,602 423,368,801 1,270,106,404 635,053,202 317,526,601 952,579,804 476,289,902 238,144,951 714,434,854 357,217,427 1,071,652,282 535,826,141 1,607,478,424 803,739,212 401,869,606 200,934,803 602,804,410 301,402,205 904,206,616 452,103,308 226,051,654 113,025,827 339,077,482 169,538,741 508,616,224 254,308,112 127,154,056 63,577,028 31,788,514 15,894,257 47,682,772 23,841,386 11,920,693 35,762,080 17,881,040 8,940,520 4,470,260 2,235,130 1,117,565 3,352,696 1,676,348

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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