738,087

3 × 7² × 5021

Prime Factor Structure

Factorization String 3 × 7^2 × 5021

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,145,016

Proper Divisor Sum 406,929

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #738083 ← → #738107

Radix Representation

Decimal	738087
Binary	10110100001100100111 (20 bits)
Octal	0o2641447
Hexadecimal	0xB4327

Divisor Catalog (12)

1 3 7 21 49 147 5,021 15,063 35,147 105,441 246,029 738,087

Collatz Trajectory (317 steps to reach 1)

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

738,087 2,214,262 1,107,131 3,321,394 1,660,697 4,982,092 2,491,046 1,245,523 3,736,570 1,868,285 5,604,856 2,802,428 1,401,214 700,607 2,101,822 1,050,911 3,152,734 1,576,367 4,729,102 2,364,551 7,093,654 3,546,827 10,640,482 5,320,241 15,960,724 7,980,362 3,990,181 11,970,544 5,985,272 2,992,636 1,496,318 748,159 2,244,478 1,122,239 3,366,718 1,683,359 5,050,078 2,525,039 7,575,118 3,787,559 11,362,678 5,681,339 17,044,018 8,522,009 25,566,028 12,783,014 6,391,507 19,174,522 9,587,261 28,761,784 14,380,892 7,190,446 3,595,223 10,785,670 5,392,835 16,178,506 8,089,253 24,267,760 12,133,880 6,066,940

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