746,733

3 × 13 × 41 × 467

746,733 factors as 3 × 13 × 41 × 467. Its 16 positive divisors give a proper-divisor sum of 354,003, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 3 × 13 × 41 × 467

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,100,736

Proper Divisor Sum 354,003

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #746723 ← → #746737

Radix Representation

Decimal	746733
Binary	10110110010011101101 (20 bits)
Octal	0o2662355
Hexadecimal	0xB64ED

Divisor Catalog (16)

1 3 13 39 41 123 467 533 1,401 1,599 6,071 18,213 19,147 57,441 248,911 746,733

Collatz Trajectory (211 steps to reach 1)

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

746,733 2,240,200 1,120,100 560,050 280,025 840,076 420,038 210,019 630,058 315,029 945,088 472,544 236,272 118,136 59,068 29,534 14,767 44,302 22,151 66,454 33,227 99,682 49,841 149,524 74,762 37,381 112,144 56,072 28,036 14,018 7,009 21,028 10,514 5,257 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585

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