734,751

3⁴ × 47 × 193

734,751 has digital root 9. The neighboring primes are 734743 and 734759; its proper-divisor sum differs from the starting integer by -342,750.

Prime Factor Structure

Factorization String 3^4 × 47 × 193

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,126,752

Proper Divisor Sum 392,001

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #734743 ← → #734759

Radix Representation

Decimal	734751
Binary	10110011011000011111 (20 bits)
Octal	0o2633037
Hexadecimal	0xB361F

Divisor Catalog (20)

1 3 9 27 47 81 141 193 423 579 1,269 1,737 3,807 5,211 9,071 15,633 27,213 81,639 244,917 734,751

Collatz Trajectory (87 steps to reach 1)

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

734,751 2,204,254 1,102,127 3,306,382 1,653,191 4,959,574 2,479,787 7,439,362 3,719,681 11,159,044 5,579,522 2,789,761 8,369,284 4,184,642 2,092,321 6,276,964 3,138,482 1,569,241 4,707,724 2,353,862 1,176,931 3,530,794 1,765,397 5,296,192 2,648,096 1,324,048 662,024 331,012 165,506 82,753 248,260 124,130 62,065 186,196 93,098 46,549 139,648 69,824 34,912 17,456 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130

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