738,054

2 × 3² × 131 × 313

738,054 is even and not a perfect square. Its factorization is 2 × 3^2 × 131 × 313 and its 24 divisors sum to 1,616,472.

Prime Factor Structure

Factorization String 2 × 3^2 × 131 × 313

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,616,472

Proper Divisor Sum 878,418

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #738053 ← → #738071

Radix Representation

Decimal	738054
Binary	10110100001100000110 (20 bits)
Octal	0o2641406
Hexadecimal	0xB4306

Divisor Catalog (24)

1 2 3 6 9 18 131 262 313 393 626 786 939 1,179 1,878 2,358 2,817 5,634 41,003 82,006 123,009 246,018 369,027 738,054

Collatz Trajectory (118 steps to reach 1)

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

738,054 369,027 1,107,082 553,541 1,660,624 830,312 415,156 207,578 103,789 311,368 155,684 77,842 38,921 116,764 58,382 29,191 87,574 43,787 131,362 65,681 197,044 98,522 49,261 147,784 73,892 36,946 18,473 55,420 27,710 13,855 41,566 20,783 62,350 31,175 93,526 46,763 140,290 70,145 210,436 105,218 52,609 157,828 78,914 39,457 118,372 59,186 29,593 88,780 44,390 22,195 66,586 33,293 99,880 49,940 24,970 12,485 37,456 18,728 9,364 4,682

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