734,055

3 × 5 × 7 × 6991

734,055 factors as 3 × 5 × 7 × 6991. Its 16 positive divisors give a proper-divisor sum of 608,409, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 6991

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,342,464

Proper Divisor Sum 608,409

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #734047 ← → #734057

Radix Representation

Decimal	734055
Binary	10110011001101100111 (20 bits)
Octal	0o2631547
Hexadecimal	0xB3367

Divisor Catalog (16)

1 3 5 7 15 21 35 105 6,991 20,973 34,955 48,937 104,865 146,811 244,685 734,055

Collatz Trajectory (193 steps to reach 1)

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

734,055 2,202,166 1,101,083 3,303,250 1,651,625 4,954,876 2,477,438 1,238,719 3,716,158 1,858,079 5,574,238 2,787,119 8,361,358 4,180,679 12,542,038 6,271,019 18,813,058 9,406,529 28,219,588 14,109,794 7,054,897 21,164,692 10,582,346 5,291,173 15,873,520 7,936,760 3,968,380 1,984,190 992,095 2,976,286 1,488,143 4,464,430 2,232,215 6,696,646 3,348,323 10,044,970 5,022,485 15,067,456 7,533,728 3,766,864 1,883,432 941,716 470,858 235,429 706,288 353,144 176,572 88,286 44,143 132,430 66,215 198,646 99,323 297,970 148,985 446,956 223,478 111,739 335,218 167,609

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