7,552,020

2² × 3 × 5 × 7 × 17981

7,552,020 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 7 × 17981 and its 48 divisors sum to 24,167,808.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 17981

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 24,167,808

Proper Divisor Sum 16,615,788

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7552001 ← → #7552021

Radix Representation

Decimal	7552020
Binary	11100110011110000010100 (23 bits)
Octal	0o34636024
Hexadecimal	0x733C14

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 17,981 35,962 53,943 71,924 89,905 107,886 125,867 179,810 215,772 251,734 269,715 359,620 377,601 503,468 539,430 629,335 755,202 1,078,860 1,258,670 1,510,404 1,888,005 2,517,340 3,776,010 7,552,020

Collatz Trajectory (217 steps to reach 1)

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

7,552,020 3,776,010 1,888,005 5,664,016 2,832,008 1,416,004 708,002 354,001 1,062,004 531,002 265,501 796,504 398,252 199,126 99,563 298,690 149,345 448,036 224,018 112,009 336,028 168,014 84,007 252,022 126,011 378,034 189,017 567,052 283,526 141,763 425,290 212,645 637,936 318,968 159,484 79,742 39,871 119,614 59,807 179,422 89,711 269,134 134,567 403,702 201,851 605,554 302,777 908,332 454,166 227,083 681,250 340,625 1,021,876 510,938 255,469 766,408 383,204 191,602 95,801 287,404

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