3,736,998

2 × 3² × 29 × 7159

3,736,998 has the prime decomposition 2 × 3^2 × 29 × 7159. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 29 × 7159

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,377,200

Proper Divisor Sum 4,640,202

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3736987 ← → #3737003

Radix Representation

Decimal	3736998
Binary	1110010000010110100110 (22 bits)
Octal	0o16202646
Hexadecimal	0x3905A6

Divisor Catalog (24)

1 2 3 6 9 18 29 58 87 174 261 522 7,159 14,318 21,477 42,954 64,431 128,862 207,611 415,222 622,833 1,245,666 1,868,499 3,736,998

Collatz Trajectory (133 steps to reach 1)

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

3,736,998 1,868,499 5,605,498 2,802,749 8,408,248 4,204,124 2,102,062 1,051,031 3,153,094 1,576,547 4,729,642 2,364,821 7,094,464 3,547,232 1,773,616 886,808 443,404 221,702 110,851 332,554 166,277 498,832 249,416 124,708 62,354 31,177 93,532 46,766 23,383 70,150 35,075 105,226 52,613 157,840 78,920 39,460 19,730 9,865 29,596 14,798 7,399 22,198 11,099 33,298 16,649 49,948 24,974 12,487 37,462 18,731 56,194 28,097 84,292 42,146 21,073 63,220 31,610 15,805 47,416 23,708

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