5,186,972

2² × 7 × 17² × 641

5,186,972 factors as 2^2 × 7 × 17^2 × 641. Its 36 positive divisors give a proper-divisor sum of 5,850,292, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17^2 × 641

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 11,037,264

Proper Divisor Sum 5,850,292

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #5186963 ← → #5187011

Radix Representation

Decimal	5186972
Binary	10011110010010110011100 (23 bits)
Octal	0o23622634
Hexadecimal	0x4F259C

Divisor Catalog (36)

Collatz Trajectory (188 steps to reach 1)

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

5,186,972 2,593,486 1,296,743 3,890,230 1,945,115 5,835,346 2,917,673 8,753,020 4,376,510 2,188,255 6,564,766 3,282,383 9,847,150 4,923,575 14,770,726 7,385,363 22,156,090 11,078,045 33,234,136 16,617,068 8,308,534 4,154,267 12,462,802 6,231,401 18,694,204 9,347,102 4,673,551 14,020,654 7,010,327 21,030,982 10,515,491 31,546,474 15,773,237 47,319,712 23,659,856 11,829,928 5,914,964 2,957,482 1,478,741 4,436,224 2,218,112 1,109,056 554,528 277,264 138,632 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748 4,874 2,437 7,312 3,656 1,828 914

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