5,117,826

2 × 3 × 7 × 121853

5,117,826 factors as 2 × 3 × 7 × 121853. Its 16 positive divisors give a proper-divisor sum of 6,580,158, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 121853

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,697,984

Proper Divisor Sum 6,580,158

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5117813 ← → #5117851

Radix Representation

Decimal	5117826
Binary	10011100001011110000010 (23 bits)
Octal	0o23413602
Hexadecimal	0x4E1782

Divisor Catalog (16)

1 2 3 6 7 14 21 42 121,853 243,706 365,559 731,118 852,971 1,705,942 2,558,913 5,117,826

Collatz Trajectory (74 steps to reach 1)

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

5,117,826 2,558,913 7,676,740 3,838,370 1,919,185 5,757,556 2,878,778 1,439,389 4,318,168 2,159,084 1,079,542 539,771 1,619,314 809,657 2,428,972 1,214,486 607,243 1,821,730 910,865 2,732,596 1,366,298 683,149 2,049,448 1,024,724 512,362 256,181 768,544 384,272 192,136 96,068 48,034 24,017 72,052 36,026 18,013 54,040 27,020 13,510 6,755 20,266 10,133 30,400 15,200 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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