7,200,525

3 × 5² × 19 × 31 × 163

7,200,525 has digital root 3. The neighboring primes are 7200521 and 7200551; its proper-divisor sum differs from the starting integer by -1,386,010.

Prime Factor Structure

Factorization String 3 × 5^2 × 19 × 31 × 163

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 13,015,040

Proper Divisor Sum 5,814,515

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7200521 ← → #7200551

Radix Representation

Decimal	7200525
Binary	11011011101111100001101 (23 bits)
Octal	0o33357415
Hexadecimal	0x6DDF0D

Divisor Catalog (48)

1 3 5 15 19 25 31 57 75 93 95 155 163 285 465 475 489 589 775 815 1,425 1,767 2,325 2,445 2,945 3,097 4,075 5,053 8,835 9,291 12,225 14,725 15,159 15,485 25,265 44,175 46,455 75,795 77,425 96,007 126,325 232,275 288,021 378,975 480,035 1,440,105 2,400,175 7,200,525

Collatz Trajectory (116 steps to reach 1)

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

7,200,525 21,601,576 10,800,788 5,400,394 2,700,197 8,100,592 4,050,296 2,025,148 1,012,574 506,287 1,518,862 759,431 2,278,294 1,139,147 3,417,442 1,708,721 5,126,164 2,563,082 1,281,541 3,844,624 1,922,312 961,156 480,578 240,289 720,868 360,434 180,217 540,652 270,326 135,163 405,490 202,745 608,236 304,118 152,059 456,178 228,089 684,268 342,134 171,067 513,202 256,601 769,804 384,902 192,451 577,354 288,677 866,032 433,016 216,508 108,254 54,127 162,382 81,191 243,574 121,787 365,362 182,681 548,044 274,022

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