4,958,928

2⁴ × 3³ × 13 × 883

4,958,928 factors as 2^4 × 3^3 × 13 × 883. Its 80 positive divisors give a proper-divisor sum of 10,387,312, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 13 × 883

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 15,346,240

Proper Divisor Sum 10,387,312

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #4958911 ← → #4958957

Radix Representation

Decimal	4958928
Binary	10010111010101011010000 (23 bits)
Octal	0o22725320
Hexadecimal	0x4BAAD0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 883 936 1,404 1,766 1,872 2,649 2,808 3,532 5,298 5,616 7,064 7,947 10,596 11,479 14,128 15,894 21,192 22,958 23,841 31,788 34,437 42,384 45,916 47,682 63,576

Collatz Trajectory (175 steps to reach 1)

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

4,958,928 2,479,464 1,239,732 619,866 309,933 929,800 464,900 232,450 116,225 348,676 174,338 87,169 261,508 130,754 65,377 196,132 98,066 49,033 147,100 73,550 36,775 110,326 55,163 165,490 82,745 248,236 124,118 62,059 186,178 93,089 279,268 139,634 69,817 209,452 104,726 52,363 157,090 78,545 235,636 117,818 58,909 176,728 88,364 44,182 22,091 66,274 33,137 99,412 49,706 24,853 74,560 37,280 18,640 9,320 4,660 2,330 1,165 3,496 1,748 874

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