λ
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47,388,440

23 × 5 × 112 × 9791
Abundant Even Composite

47,388,440 factors as 2^3 × 5 × 11^2 × 9791. Its 48 positive divisors give a proper-divisor sum of 69,821,800, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11^2 × 9791
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 117,210,240
Proper Divisor Sum 69,821,800
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #47388431 ← → #47388443

Radix Representation

Decimal 47388440
Binary 10110100110001011100011000 (26 bits)
Octal 0o264613430
Hexadecimal 0x2D31718

Divisor Catalog (48)

1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1,210 2,420 4,840 9,791 19,582 39,164 48,955 78,328 97,910 107,701 195,820 215,402 391,640 430,804 538,505 861,608 1,077,010 1,184,711 2,154,020 2,369,422 4,308,040 4,738,844 5,923,555 9,477,688 11,847,110 23,694,220 47,388,440

Collatz Trajectory (142 steps to reach 1)

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

47,388,440 23,694,220 11,847,110 5,923,555 17,770,666 8,885,333 26,656,000 13,328,000 6,664,000 3,332,000 1,666,000 833,000 416,500 208,250 104,125 312,376 156,188 78,094 39,047 117,142 58,571 175,714 87,857 263,572 131,786 65,893 197,680 98,840 49,420 24,710 12,355 37,066 18,533 55,600 27,800 13,900 6,950 3,475 10,426 5,213 15,640 7,820 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233

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