350,112

2⁵ × 3 × 7 × 521

350,112 has the prime decomposition 2^5 × 3 × 7 × 521. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 521

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,052,352

Proper Divisor Sum 702,240

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #350111 ← → #350137

Radix Representation

Decimal	350112
Binary	1010101011110100000 (19 bits)
Octal	0o1253640
Hexadecimal	0x557A0

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 521 672 1,042 1,563 2,084 3,126 3,647 4,168 6,252 7,294 8,336 10,941 12,504 14,588 16,672 21,882 25,008 29,176 43,764 50,016 58,352 87,528 116,704 175,056 350,112

Collatz Trajectory (166 steps to reach 1)

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

350,112 175,056 87,528 43,764 21,882 10,941 32,824 16,412 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62

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