3,008,960

2⁶ × 5 × 9403

3,008,960 has the prime decomposition 2^6 × 5 × 9403. Its 3 distinct prime factors produce 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 5 × 9403

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 7,165,848

Proper Divisor Sum 4,156,888

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3008923 ← → #3008981

Radix Representation

Decimal	3008960
Binary	1011011110100111000000 (22 bits)
Octal	0o13364700
Hexadecimal	0x2DE9C0

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 9,403 18,806 37,612 47,015 75,224 94,030 150,448 188,060 300,896 376,120 601,792 752,240 1,504,480 3,008,960

Collatz Trajectory (257 steps to reach 1)

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

3,008,960 1,504,480 752,240 376,120 188,060 94,030 47,015 141,046 70,523 211,570 105,785 317,356 158,678 79,339 238,018 119,009 357,028 178,514 89,257 267,772 133,886 66,943 200,830 100,415 301,246 150,623 451,870 225,935 677,806 338,903 1,016,710 508,355 1,525,066 762,533 2,287,600 1,143,800 571,900 285,950 142,975 428,926 214,463 643,390 321,695 965,086 482,543 1,447,630 723,815 2,171,446 1,085,723 3,257,170 1,628,585 4,885,756 2,442,878 1,221,439 3,664,318 1,832,159 5,496,478 2,748,239 8,244,718 4,122,359

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