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Atlas › Integer Profiles › Node 4,075,006

4,075,006

2 × 13 × 19 × 73 × 113
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 19 × 73 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,086,240
Proper Divisor Sum 3,011,234
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4075003 ← → #4075021

Radix Representation

Decimal 4075006
Binary 1111100010110111111110 (22 bits)
Octal 0o17426776
Hexadecimal 0x3E2DFE

Divisor Catalog (32)

1 2 13 19 26 38 73 113 146 226 247 494 949 1,387 1,469 1,898 2,147 2,774 2,938 4,294 8,249 16,498 18,031 27,911 36,062 55,822 107,237 156,731 214,474 313,462 2,037,503 4,075,006

Collatz Trajectory (291 steps to reach 1)

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

4,075,006 2,037,503 6,112,510 3,056,255 9,168,766 4,584,383 13,753,150 6,876,575 20,629,726 10,314,863 30,944,590 15,472,295 46,416,886 23,208,443 69,625,330 34,812,665 104,437,996 52,218,998 26,109,499 78,328,498 39,164,249 117,492,748 58,746,374 29,373,187 88,119,562 44,059,781 132,179,344 66,089,672 33,044,836 16,522,418 8,261,209 24,783,628 12,391,814 6,195,907 18,587,722 9,293,861 27,881,584 13,940,792 6,970,396 3,485,198 1,742,599 5,227,798 2,613,899 7,841,698 3,920,849 11,762,548 5,881,274 2,940,637 8,821,912 4,410,956 2,205,478 1,102,739 3,308,218 1,654,109 4,962,328 2,481,164 1,240,582 620,291 1,860,874 930,437

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