Integer 401,065 Profile | Ratio Atlas

401,065

5 × 7² × 1637

Prime Factor Structure

Factorization String 5 × 7^2 × 1637

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 560,196

Proper Divisor Sum 159,131

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #401057 ← → #401069

Radix Representation

Decimal	401065
Binary	1100001111010101001 (19 bits)
Octal	0o1417251
Hexadecimal	0x61EA9

Divisor Catalog (12)

1 5 7 35 49 245 1,637 8,185 11,459 57,295 80,213 401,065

Collatz Trajectory (179 steps to reach 1)

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

401,065 1,203,196 601,598 300,799 902,398 451,199 1,353,598 676,799 2,030,398 1,015,199 3,045,598 1,522,799 4,568,398 2,284,199 6,852,598 3,426,299 10,278,898 5,139,449 15,418,348 7,709,174 3,854,587 11,563,762 5,781,881 17,345,644 8,672,822 4,336,411 13,009,234 6,504,617 19,513,852 9,756,926 4,878,463 14,635,390 7,317,695 21,953,086 10,976,543 32,929,630 16,464,815 49,394,446 24,697,223 74,091,670 37,045,835 111,137,506 55,568,753 166,706,260 83,353,130 41,676,565 125,029,696 62,514,848 31,257,424 15,628,712 7,814,356 3,907,178 1,953,589 5,860,768 2,930,384 1,465,192 732,596 366,298 183,149 549,448

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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