54,828,072

2³ × 3² × 13 × 19 × 3083

54,828,072 factors as 2^3 × 3^2 × 13 × 19 × 3083. Its 96 positive divisors give a proper-divisor sum of 113,558,328, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 19 × 3083

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 168,386,400

Proper Divisor Sum 113,558,328

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #54828071 ← → #54828073

Radix Representation

Decimal	54828072
Binary	11010001001001110000101000 (26 bits)
Octal	0o321116050
Hexadecimal	0x3449C28

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1,368 1,482 1,976 2,223 2,964 3,083 4,446 5,928 6,166 8,892 9,249 12,332 17,784 18,498 24,664 27,747 36,996 40,079 55,494 58,577 73,992

Collatz Trajectory (225 steps to reach 1)

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

54,828,072 27,414,036 13,707,018 6,853,509 20,560,528 10,280,264 5,140,132 2,570,066 1,285,033 3,855,100 1,927,550 963,775 2,891,326 1,445,663 4,336,990 2,168,495 6,505,486 3,252,743 9,758,230 4,879,115 14,637,346 7,318,673 21,956,020 10,978,010 5,489,005 16,467,016 8,233,508 4,116,754 2,058,377 6,175,132 3,087,566 1,543,783 4,631,350 2,315,675 6,947,026 3,473,513 10,420,540 5,210,270 2,605,135 7,815,406 3,907,703 11,723,110 5,861,555 17,584,666 8,792,333 26,377,000 13,188,500 6,594,250 3,297,125 9,891,376 4,945,688 2,472,844 1,236,422 618,211 1,854,634 927,317 2,781,952 1,390,976 695,488 347,744

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