47,733,280

2⁵ × 5 × 7 × 17 × 23 × 109

47,733,280 factors as 2^5 × 5 × 7 × 17 × 23 × 109. Its 192 positive divisors give a proper-divisor sum of 95,967,200, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 17 × 23 × 109

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 143,700,480

Proper Divisor Sum 95,967,200

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #47733277 ← → #47733299

Radix Representation

Decimal	47733280
Binary	10110110000101101000100000 (26 bits)
Octal	0o266055040
Hexadecimal	0x2D85A20

Divisor Catalog (60 of 192)

1 2 4 5 7 8 10 14 16 17 20 23 28 32 34 35 40 46 56 68 70 80 85 92 109 112 115 119 136 140 160 161 170 184 218 224 230 238 272 280 322 340 368 391 436 460 476 544 545 560 595 644 680 736 763 782 805 872 920 952

Collatz Trajectory (168 steps to reach 1)

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

47,733,280 23,866,640 11,933,320 5,966,660 2,983,330 1,491,665 4,474,996 2,237,498 1,118,749 3,356,248 1,678,124 839,062 419,531 1,258,594 629,297 1,887,892 943,946 471,973 1,415,920 707,960 353,980 176,990 88,495 265,486 132,743 398,230 199,115 597,346 298,673 896,020 448,010 224,005 672,016 336,008 168,004 84,002 42,001 126,004 63,002 31,501 94,504 47,252 23,626 11,813 35,440 17,720 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414

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