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Atlas › Integer Profiles › Node 36,938,825

36,938,825

52 × 7 × 11 × 31 × 619
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 7 × 11 × 31 × 619
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 59,043,840
Proper Divisor Sum 22,105,015
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #36938821 ← → #36938843

Radix Representation

Decimal 36938825
Binary 10001100111010010001001001 (26 bits)
Octal 0o214722111
Hexadecimal 0x233A449

Divisor Catalog (48)

1 5 7 11 25 31 35 55 77 155 175 217 275 341 385 619 775 1,085 1,705 1,925 2,387 3,095 4,333 5,425 6,809 8,525 11,935 15,475 19,189 21,665 34,045 47,663 59,675 95,945 108,325 134,323 170,225 211,079 238,315 479,725 671,615 1,055,395 1,191,575 1,477,553 3,358,075 5,276,975 7,387,765 36,938,825

Collatz Trajectory (240 steps to reach 1)

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

36,938,825 110,816,476 55,408,238 27,704,119 83,112,358 41,556,179 124,668,538 62,334,269 187,002,808 93,501,404 46,750,702 23,375,351 70,126,054 35,063,027 105,189,082 52,594,541 157,783,624 78,891,812 39,445,906 19,722,953 59,168,860 29,584,430 14,792,215 44,376,646 22,188,323 66,564,970 33,282,485 99,847,456 49,923,728 24,961,864 12,480,932 6,240,466 3,120,233 9,360,700 4,680,350 2,340,175 7,020,526 3,510,263 10,530,790 5,265,395 15,796,186 7,898,093 23,694,280 11,847,140 5,923,570 2,961,785 8,885,356 4,442,678 2,221,339 6,664,018 3,332,009 9,996,028 4,998,014 2,499,007 7,497,022 3,748,511 11,245,534 5,622,767 16,868,302 8,434,151

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