54,849,080

2³ × 5 × 11 × 13 × 43 × 223

54,849,080 factors as 2^3 × 5 × 11 × 13 × 43 × 223. Its 128 positive divisors give a proper-divisor sum of 94,173,640, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 13 × 43 × 223

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 149,022,720

Proper Divisor Sum 94,173,640

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #54849077 ← → #54849083

Radix Representation

Decimal	54849080
Binary	11010001001110111000111000 (26 bits)
Octal	0o321167070
Hexadecimal	0x344EE38

Divisor Catalog (60 of 128)

1 2 4 5 8 10 11 13 20 22 26 40 43 44 52 55 65 86 88 104 110 130 143 172 215 220 223 260 286 344 430 440 446 473 520 559 572 715 860 892 946 1,115 1,118 1,144 1,430 1,720 1,784 1,892 2,230 2,236 2,365 2,453 2,795 2,860 2,899 3,784 4,460 4,472 4,730 4,906

Collatz Trajectory (132 steps to reach 1)

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

54,849,080 27,424,540 13,712,270 6,856,135 20,568,406 10,284,203 30,852,610 15,426,305 46,278,916 23,139,458 11,569,729 34,709,188 17,354,594 8,677,297 26,031,892 13,015,946 6,507,973 19,523,920 9,761,960 4,880,980 2,440,490 1,220,245 3,660,736 1,830,368 915,184 457,592 228,796 114,398 57,199 171,598 85,799 257,398 128,699 386,098 193,049 579,148 289,574 144,787 434,362 217,181 651,544 325,772 162,886 81,443 244,330 122,165 366,496 183,248 91,624 45,812 22,906 11,453 34,360 17,180 8,590 4,295 12,886 6,443 19,330 9,665

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