752,618

2 × 31 × 61 × 199

752,618 has the prime decomposition 2 × 31 × 61 × 199. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 31 × 61 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,190,400

Proper Divisor Sum 437,782

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #752603 ← → #752627

Radix Representation

Decimal	752618
Binary	10110111101111101010 (20 bits)
Octal	0o2675752
Hexadecimal	0xB7BEA

Divisor Catalog (16)

1 2 31 61 62 122 199 398 1,891 3,782 6,169 12,139 12,338 24,278 376,309 752,618

Collatz Trajectory (87 steps to reach 1)

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

752,618 376,309 1,128,928 564,464 282,232 141,116 70,558 35,279 105,838 52,919 158,758 79,379 238,138 119,069 357,208 178,604 89,302 44,651 133,954 66,977 200,932 100,466 50,233 150,700 75,350 37,675 113,026 56,513 169,540 84,770 42,385 127,156 63,578 31,789 95,368 47,684 23,842 11,921 35,764 17,882 8,941 26,824 13,412 6,706 3,353 10,060 5,030 2,515 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778

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