47,842,540

2² × 5 × 2392127

47,842,540 factors as 2^2 × 5 × 2392127. Its 12 positive divisors give a proper-divisor sum of 52,626,836, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 2392127

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 100,469,376

Proper Divisor Sum 52,626,836

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #47842523 ← → #47842567

Radix Representation

Decimal	47842540
Binary	10110110100000010011101100 (26 bits)
Octal	0o266402354
Hexadecimal	0x2DA04EC

Divisor Catalog (12)

1 2 4 5 10 20 2,392,127 4,784,254 9,568,508 11,960,635 23,921,270 47,842,540

Collatz Trajectory (93 steps to reach 1)

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

47,842,540 23,921,270 11,960,635 35,881,906 17,940,953 53,822,860 26,911,430 13,455,715 40,367,146 20,183,573 60,550,720 30,275,360 15,137,680 7,568,840 3,784,420 1,892,210 946,105 2,838,316 1,419,158 709,579 2,128,738 1,064,369 3,193,108 1,596,554 798,277 2,394,832 1,197,416 598,708 299,354 149,677 449,032 224,516 112,258 56,129 168,388 84,194 42,097 126,292 63,146 31,573 94,720 47,360 23,680 11,840 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236

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