4,687,968

2⁵ × 3 × 47 × 1039

4,687,968 factors as 2^5 × 3 × 47 × 1039. Its 48 positive divisors give a proper-divisor sum of 7,891,872, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 47 × 1039

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,579,840

Proper Divisor Sum 7,891,872

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #4687967 ← → #4687979

Radix Representation

Decimal	4687968
Binary	10001111000100001100000 (23 bits)
Octal	0o21704140
Hexadecimal	0x478860

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1,039 1,128 1,504 2,078 2,256 3,117 4,156 4,512 6,234 8,312 12,468 16,624 24,936 33,248 48,833 49,872 97,666 99,744 146,499 195,332 292,998 390,664 585,996 781,328 1,171,992 1,562,656 2,343,984 4,687,968

Collatz Trajectory (74 steps to reach 1)

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

4,687,968 2,343,984 1,171,992 585,996 292,998 146,499 439,498 219,749 659,248 329,624 164,812 82,406 41,203 123,610 61,805 185,416 92,708 46,354 23,177 69,532 34,766 17,383 52,150 26,075 78,226 39,113 117,340 58,670 29,335 88,006 44,003 132,010 66,005 198,016 99,008 49,504 24,752 12,376 6,188 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23

More profiles

2,935,529 4,442,574 734,965 6,982,400 9,469,660 2,593,446 8,894,304 6,095,890 2,868,514 9,537,051 8,947,655 8,522,941 6,112,551 8,107,592 4,206,041 5,233,199

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