λ
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5,117,538

2 × 3 × 41 × 71 × 293
Abundant Even Composite

5,117,538 factors as 2 × 3 × 41 × 71 × 293. Its 32 positive divisors give a proper-divisor sum of 5,551,134, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 71 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,668,672
Proper Divisor Sum 5,551,134
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5117533 ← → #5117551

Radix Representation

Decimal 5117538
Binary 10011100001011001100010 (23 bits)
Octal 0o23413142
Hexadecimal 0x4E1662

Divisor Catalog (32)

1 2 3 6 41 71 82 123 142 213 246 293 426 586 879 1,758 2,911 5,822 8,733 12,013 17,466 20,803 24,026 36,039 41,606 62,409 72,078 124,818 852,923 1,705,846 2,558,769 5,117,538

Collatz Trajectory (74 steps to reach 1)

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

5,117,538 2,558,769 7,676,308 3,838,154 1,919,077 5,757,232 2,878,616 1,439,308 719,654 359,827 1,079,482 539,741 1,619,224 809,612 404,806 202,403 607,210 303,605 910,816 455,408 227,704 113,852 56,926 28,463 85,390 42,695 128,086 64,043 192,130 96,065 288,196 144,098 72,049 216,148 108,074 54,037 162,112 81,056 40,528 20,264 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904

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