738,441

3² × 11 × 7459

738,441 factors as 3^2 × 11 × 7459. Its 12 positive divisors give a proper-divisor sum of 425,319, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 7459

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,163,760

Proper Divisor Sum 425,319

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #738421 ← → #738443

Radix Representation

Decimal	738441
Binary	10110100010010001001 (20 bits)
Octal	0o2642211
Hexadecimal	0xB4489

Divisor Catalog (12)

1 3 9 11 33 99 7,459 22,377 67,131 82,049 246,147 738,441

Collatz Trajectory (167 steps to reach 1)

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

738,441 2,215,324 1,107,662 553,831 1,661,494 830,747 2,492,242 1,246,121 3,738,364 1,869,182 934,591 2,803,774 1,401,887 4,205,662 2,102,831 6,308,494 3,154,247 9,462,742 4,731,371 14,194,114 7,097,057 21,291,172 10,645,586 5,322,793 15,968,380 7,984,190 3,992,095 11,976,286 5,988,143 17,964,430 8,982,215 26,946,646 13,473,323 40,419,970 20,209,985 60,629,956 30,314,978 15,157,489 45,472,468 22,736,234 11,368,117 34,104,352 17,052,176 8,526,088 4,263,044 2,131,522 1,065,761 3,197,284 1,598,642 799,321 2,397,964 1,198,982 599,491 1,798,474 899,237 2,697,712 1,348,856 674,428 337,214 168,607

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