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Atlas › Integer Profiles › Node 4,036,075

4,036,075

52 × 19 × 29 × 293
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 19 × 29 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,468,400
Proper Divisor Sum 1,432,325
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4036069 ← → #4036091

Radix Representation

Decimal 4036075
Binary 1111011001010111101011 (22 bits)
Octal 0o17312753
Hexadecimal 0x3D95EB

Divisor Catalog (24)

1 5 19 25 29 95 145 293 475 551 725 1,465 2,755 5,567 7,325 8,497 13,775 27,835 42,485 139,175 161,443 212,425 807,215 4,036,075

Collatz Trajectory (247 steps to reach 1)

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

4,036,075 12,108,226 6,054,113 18,162,340 9,081,170 4,540,585 13,621,756 6,810,878 3,405,439 10,216,318 5,108,159 15,324,478 7,662,239 22,986,718 11,493,359 34,480,078 17,240,039 51,720,118 25,860,059 77,580,178 38,790,089 116,370,268 58,185,134 29,092,567 87,277,702 43,638,851 130,916,554 65,458,277 196,374,832 98,187,416 49,093,708 24,546,854 12,273,427 36,820,282 18,410,141 55,230,424 27,615,212 13,807,606 6,903,803 20,711,410 10,355,705 31,067,116 15,533,558 7,766,779 23,300,338 11,650,169 34,950,508 17,475,254 8,737,627 26,212,882 13,106,441 39,319,324 19,659,662 9,829,831 29,489,494 14,744,747 44,234,242 22,117,121 66,351,364 33,175,682

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