λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,244,591
10,244,591
7 × 17 × 19 × 23 × 197
Deficient Odd Composite

Prime Factor Structure

Factorization String 7 × 17 × 19 × 23 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,685,760
Proper Divisor Sum 3,441,169
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #10244587 ← → #10244599

Radix Representation

Decimal 10244591
Binary 100111000101000111101111 (24 bits)
Octal 0o47050757
Hexadecimal 0x9C51EF

Divisor Catalog (32)

1 7 17 19 23 119 133 161 197 323 391 437 1,379 2,261 2,737 3,059 3,349 3,743 4,531 7,429 23,443 26,201 31,717 52,003 63,631 77,027 86,089 445,417 539,189 602,623 1,463,513 10,244,591

Collatz Trajectory (220 steps to reach 1)

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

10,244,591 30,733,774 15,366,887 46,100,662 23,050,331 69,150,994 34,575,497 103,726,492 51,863,246 25,931,623 77,794,870 38,897,435 116,692,306 58,346,153 175,038,460 87,519,230 43,759,615 131,278,846 65,639,423 196,918,270 98,459,135 295,377,406 147,688,703 443,066,110 221,533,055 664,599,166 332,299,583 996,898,750 498,449,375 1,495,348,126 747,674,063 2,243,022,190 1,121,511,095 3,364,533,286 1,682,266,643 5,046,799,930 2,523,399,965 7,570,199,896 3,785,099,948 1,892,549,974 946,274,987 2,838,824,962 1,419,412,481 4,258,237,444 2,129,118,722 1,064,559,361 3,193,678,084 1,596,839,042 798,419,521 2,395,258,564 1,197,629,282 598,814,641 1,796,443,924 898,221,962 449,110,981 1,347,332,944 673,666,472 336,833,236 168,416,618 84,208,309

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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