47,771,320

2³ × 5 × 19 × 239 × 263

47,771,320 factors as 2^3 × 5 × 19 × 239 × 263. Its 64 positive divisors give a proper-divisor sum of 66,276,680, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 239 × 263

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 114,048,000

Proper Divisor Sum 66,276,680

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #47771303 ← → #47771333

Radix Representation

Decimal	47771320
Binary	10110110001110111010111000 (26 bits)
Octal	0o266167270
Hexadecimal	0x2D8EEB8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 19 20 38 40 76 95 152 190 239 263 380 478 526 760 956 1,052 1,195 1,315 1,912 2,104 2,390 2,630 4,541 4,780 4,997 5,260 9,082 9,560 9,994 10,520 18,164 19,988 22,705 24,985 36,328 39,976 45,410 49,970 62,857 90,820 99,940 125,714 181,640 199,880 251,428 314,285 502,856 628,570 1,194,283 1,257,140 2,388,566 2,514,280 4,777,132 5,971,415

Collatz Trajectory (155 steps to reach 1)

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

47,771,320 23,885,660 11,942,830 5,971,415 17,914,246 8,957,123 26,871,370 13,435,685 40,307,056 20,153,528 10,076,764 5,038,382 2,519,191 7,557,574 3,778,787 11,336,362 5,668,181 17,004,544 8,502,272 4,251,136 2,125,568 1,062,784 531,392 265,696 132,848 66,424 33,212 16,606 8,303 24,910 12,455 37,366 18,683 56,050 28,025 84,076 42,038 21,019 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207 159,622 79,811 239,434 119,717 359,152 179,576 89,788 44,894 22,447 67,342 33,671 101,014 50,507

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