4,476,960

2⁵ × 3² × 5 × 3109

4,476,960 has the prime decomposition 2^5 × 3^2 × 5 × 3109. Its 4 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 3109

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 15,282,540

Proper Divisor Sum 10,805,580

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4476959 ← → #4476961

Radix Representation

Decimal	4476960
Binary	10001000101000000100000 (23 bits)
Octal	0o21050040
Hexadecimal	0x445020

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1,440 3,109 6,218 9,327 12,436 15,545 18,654 24,872 27,981 31,090 37,308 46,635 49,744 55,962 62,180 74,616 93,270 99,488 111,924 124,360 139,905 149,232 186,540 223,848 248,720

Collatz Trajectory (118 steps to reach 1)

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

4,476,960 2,238,480 1,119,240 559,620 279,810 139,905 419,716 209,858 104,929 314,788 157,394 78,697 236,092 118,046 59,023 177,070 88,535 265,606 132,803 398,410 199,205 597,616 298,808 149,404 74,702 37,351 112,054 56,027 168,082 84,041 252,124 126,062 63,031 189,094 94,547 283,642 141,821 425,464 212,732 106,366 53,183 159,550 79,775 239,326 119,663 358,990 179,495 538,486 269,243 807,730 403,865 1,211,596 605,798 302,899 908,698 454,349 1,363,048 681,524 340,762 170,381

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