λ
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Atlas › Integer Profiles › Node 4,089,085

4,089,085

5 × 7 × 11 × 13 × 19 × 43
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 11 × 13 × 19 × 43
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,096,320
Proper Divisor Sum 3,007,235
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4089083 ← → #4089089

Radix Representation

Decimal 4089085
Binary 1111100110010011111101 (22 bits)
Octal 0o17462375
Hexadecimal 0x3E64FD

Divisor Catalog (60 of 64)

1 5 7 11 13 19 35 43 55 65 77 91 95 133 143 209 215 247 301 385 455 473 559 665 715 817 1,001 1,045 1,235 1,463 1,505 1,729 2,365 2,717 2,795 3,311 3,913 4,085 5,005 5,719 6,149 7,315 8,645 8,987 10,621 13,585 16,555 19,019 19,565 28,595 30,745 43,043 44,935 53,105 62,909 74,347 95,095 116,831 215,215 314,545

Collatz Trajectory (136 steps to reach 1)

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

4,089,085 12,267,256 6,133,628 3,066,814 1,533,407 4,600,222 2,300,111 6,900,334 3,450,167 10,350,502 5,175,251 15,525,754 7,762,877 23,288,632 11,644,316 5,822,158 2,911,079 8,733,238 4,366,619 13,099,858 6,549,929 19,649,788 9,824,894 4,912,447 14,737,342 7,368,671 22,106,014 11,053,007 33,159,022 16,579,511 49,738,534 24,869,267 74,607,802 37,303,901 111,911,704 55,955,852 27,977,926 13,988,963 41,966,890 20,983,445 62,950,336 31,475,168 15,737,584 7,868,792 3,934,396 1,967,198 983,599 2,950,798 1,475,399 4,426,198 2,213,099 6,639,298 3,319,649 9,958,948 4,979,474 2,489,737 7,469,212 3,734,606 1,867,303 5,601,910

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