Integer 400,155 Profile | Ratio Atlas

400,155

3 × 5 × 7 × 37 × 103

Prime Factor Structure

Factorization String 3 × 5 × 7 × 37 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 758,784

Proper Divisor Sum 358,629

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #400151 ← → #400157

Radix Representation

Decimal	400155
Binary	1100001101100011011 (19 bits)
Octal	0o1415433
Hexadecimal	0x61B1B

Divisor Catalog (32)

1 3 5 7 15 21 35 37 103 105 111 185 259 309 515 555 721 777 1,295 1,545 2,163 3,605 3,811 3,885 10,815 11,433 19,055 26,677 57,165 80,031 133,385 400,155

Collatz Trajectory (205 steps to reach 1)

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

400,155 1,200,466 600,233 1,800,700 900,350 450,175 1,350,526 675,263 2,025,790 1,012,895 3,038,686 1,519,343 4,558,030 2,279,015 6,837,046 3,418,523 10,255,570 5,127,785 15,383,356 7,691,678 3,845,839 11,537,518 5,768,759 17,306,278 8,653,139 25,959,418 12,979,709 38,939,128 19,469,564 9,734,782 4,867,391 14,602,174 7,301,087 21,903,262 10,951,631 32,854,894 16,427,447 49,282,342 24,641,171 73,923,514 36,961,757 110,885,272 55,442,636 27,721,318 13,860,659 41,581,978 20,790,989 62,372,968 31,186,484 15,593,242 7,796,621 23,389,864 11,694,932 5,847,466 2,923,733 8,771,200 4,385,600 2,192,800 1,096,400 548,200

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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