107,492

2² × 7 × 11 × 349

107,492 is even and not a perfect square. Its factorization is 2^2 × 7 × 11 × 349 and its 24 divisors sum to 235,200.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 349

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 235,200

Proper Divisor Sum 127,708

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #107473 ← → #107507

Radix Representation

Decimal	107492
Binary	11010001111100100 (17 bits)
Octal	0o321744
Hexadecimal	0x1A3E4

Divisor Catalog (24)

1 2 4 7 11 14 22 28 44 77 154 308 349 698 1,396 2,443 3,839 4,886 7,678 9,772 15,356 26,873 53,746 107,492

Collatz Trajectory (97 steps to reach 1)

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

107,492 53,746 26,873 80,620 40,310 20,155 60,466 30,233 90,700 45,350 22,675 68,026 34,013 102,040 51,020 25,510 12,755 38,266 19,133 57,400 28,700 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683

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