4,119,525

3³ × 5² × 17 × 359

4,119,525 factors as 3^3 × 5^2 × 17 × 359. Its 48 positive divisors give a proper-divisor sum of 3,915,675, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 17 × 359

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,035,200

Proper Divisor Sum 3,915,675

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4119509 ← → #4119527

Radix Representation

Decimal	4119525
Binary	1111101101101111100101 (22 bits)
Octal	0o17555745
Hexadecimal	0x3EDBE5

Divisor Catalog (48)

1 3 5 9 15 17 25 27 45 51 75 85 135 153 225 255 359 425 459 675 765 1,077 1,275 1,795 2,295 3,231 3,825 5,385 6,103 8,975 9,693 11,475 16,155 18,309 26,925 30,515 48,465 54,927 80,775 91,545 152,575 164,781 242,325 274,635 457,725 823,905 1,373,175 4,119,525

Collatz Trajectory (198 steps to reach 1)

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

4,119,525 12,358,576 6,179,288 3,089,644 1,544,822 772,411 2,317,234 1,158,617 3,475,852 1,737,926 868,963 2,606,890 1,303,445 3,910,336 1,955,168 977,584 488,792 244,396 122,198 61,099 183,298 91,649 274,948 137,474 68,737 206,212 103,106 51,553 154,660 77,330 38,665 115,996 57,998 28,999 86,998 43,499 130,498 65,249 195,748 97,874 48,937 146,812 73,406 36,703 110,110 55,055 165,166 82,583 247,750 123,875 371,626 185,813 557,440 278,720 139,360 69,680 34,840 17,420 8,710 4,355

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