54,424,072

2³ × 17 × 23 × 127 × 137

54,424,072 factors as 2^3 × 17 × 23 × 127 × 137. Its 64 positive divisors give a proper-divisor sum of 60,038,648, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 23 × 127 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 114,462,720

Proper Divisor Sum 60,038,648

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #54424063 ← → #54424087

Radix Representation

Decimal	54424072
Binary	11001111100111001000001000 (26 bits)
Octal	0o317471010
Hexadecimal	0x33E7208

Divisor Catalog (60 of 64)

1 2 4 8 17 23 34 46 68 92 127 136 137 184 254 274 391 508 548 782 1,016 1,096 1,564 2,159 2,329 2,921 3,128 3,151 4,318 4,658 5,842 6,302 8,636 9,316 11,684 12,604 17,272 17,399 18,632 23,368 25,208 34,798 49,657 53,567 69,596 99,314 107,134 139,192 198,628 214,268 295,783 397,256 400,177 428,536 591,566 800,354 1,183,132 1,600,708 2,366,264 3,201,416

Collatz Trajectory (88 steps to reach 1)

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

54,424,072 27,212,036 13,606,018 6,803,009 20,409,028 10,204,514 5,102,257 15,306,772 7,653,386 3,826,693 11,480,080 5,740,040 2,870,020 1,435,010 717,505 2,152,516 1,076,258 538,129 1,614,388 807,194 403,597 1,210,792 605,396 302,698 151,349 454,048 227,024 113,512 56,756 28,378 14,189 42,568 21,284 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269

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