7,625,020

2² × 5 × 13 × 29327

For 7,625,020, the 24 positive divisors have a total of 17,244,864. Removing 7,625,020 leaves 9,619,844, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 29327

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,244,864

Proper Divisor Sum 9,619,844

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #7625017 ← → #7625021

Radix Representation

Decimal	7625020
Binary	11101000101100100111100 (23 bits)
Octal	0o35054474
Hexadecimal	0x74593C

Divisor Catalog (24)

1 2 4 5 10 13 20 26 52 65 130 260 29,327 58,654 117,308 146,635 293,270 381,251 586,540 762,502 1,525,004 1,906,255 3,812,510 7,625,020

Collatz Trajectory (217 steps to reach 1)

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

7,625,020 3,812,510 1,906,255 5,718,766 2,859,383 8,578,150 4,289,075 12,867,226 6,433,613 19,300,840 9,650,420 4,825,210 2,412,605 7,237,816 3,618,908 1,809,454 904,727 2,714,182 1,357,091 4,071,274 2,035,637 6,106,912 3,053,456 1,526,728 763,364 381,682 190,841 572,524 286,262 143,131 429,394 214,697 644,092 322,046 161,023 483,070 241,535 724,606 362,303 1,086,910 543,455 1,630,366 815,183 2,445,550 1,222,775 3,668,326 1,834,163 5,502,490 2,751,245 8,253,736 4,126,868 2,063,434 1,031,717 3,095,152 1,547,576 773,788 386,894 193,447 580,342 290,171

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