4,742,964

2² × 3² × 131749

4,742,964 has the prime decomposition 2^2 × 3^2 × 131749. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 131749

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 11,989,250

Proper Divisor Sum 7,246,286

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4742957 ← → #4742971

Radix Representation

Decimal	4742964
Binary	10010000101111100110100 (23 bits)
Octal	0o22057464
Hexadecimal	0x485F34

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 131,749 263,498 395,247 526,996 790,494 1,185,741 1,580,988 2,371,482 4,742,964

Collatz Trajectory (149 steps to reach 1)

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

4,742,964 2,371,482 1,185,741 3,557,224 1,778,612 889,306 444,653 1,333,960 666,980 333,490 166,745 500,236 250,118 125,059 375,178 187,589 562,768 281,384 140,692 70,346 35,173 105,520 52,760 26,380 13,190 6,595 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021

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