47,155,120

2⁴ × 5 × 589439

47,155,120 factors as 2^4 × 5 × 589439. Its 20 positive divisors give a proper-divisor sum of 62,480,720, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 589439

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 109,635,840

Proper Divisor Sum 62,480,720

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #47155117 ← → #47155139

Radix Representation

Decimal	47155120
Binary	10110011111000011110110000 (26 bits)
Octal	0o263703660
Hexadecimal	0x2CF87B0

Divisor Catalog (20)

Collatz Trajectory (124 steps to reach 1)

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

47,155,120 23,577,560 11,788,780 5,894,390 2,947,195 8,841,586 4,420,793 13,262,380 6,631,190 3,315,595 9,946,786 4,973,393 14,920,180 7,460,090 3,730,045 11,190,136 5,595,068 2,797,534 1,398,767 4,196,302 2,098,151 6,294,454 3,147,227 9,441,682 4,720,841 14,162,524 7,081,262 3,540,631 10,621,894 5,310,947 15,932,842 7,966,421 23,899,264 11,949,632 5,974,816 2,987,408 1,493,704 746,852 373,426 186,713 560,140 280,070 140,035 420,106 210,053 630,160 315,080 157,540 78,770 39,385 118,156 59,078 29,539 88,618 44,309 132,928 66,464 33,232 16,616 8,308

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