7,601,400

2³ × 3² × 5² × 41 × 103

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 41 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 26,404,560

Proper Divisor Sum 18,803,160

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #7601371 ← → #7601413

Radix Representation

Decimal	7601400
Binary	11100111111110011111000 (23 bits)
Octal	0o34776370
Hexadecimal	0x73FCF8

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 41 45 50 60 72 75 82 90 100 103 120 123 150 164 180 200 205 206 225 246 300 309 328 360 369 410 412 450 492 515 600 615 618 738 820 824 900 927 984 1,025 1,030 1,230

Collatz Trajectory (248 steps to reach 1)

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

7,601,400 3,800,700 1,900,350 950,175 2,850,526 1,425,263 4,275,790 2,137,895 6,413,686 3,206,843 9,620,530 4,810,265 14,430,796 7,215,398 3,607,699 10,823,098 5,411,549 16,234,648 8,117,324 4,058,662 2,029,331 6,087,994 3,043,997 9,131,992 4,565,996 2,282,998 1,141,499 3,424,498 1,712,249 5,136,748 2,568,374 1,284,187 3,852,562 1,926,281 5,778,844 2,889,422 1,444,711 4,334,134 2,167,067 6,501,202 3,250,601 9,751,804 4,875,902 2,437,951 7,313,854 3,656,927 10,970,782 5,485,391 16,456,174 8,228,087 24,684,262 12,342,131 37,026,394 18,513,197 55,539,592 27,769,796 13,884,898 6,942,449 20,827,348 10,413,674

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