734,318

2 × 13 × 61 × 463

734,318 factors as 2 × 13 × 61 × 463. Its 16 positive divisors give a proper-divisor sum of 473,938, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2 × 13 × 61 × 463

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,208,256

Proper Divisor Sum 473,938

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #734303 ← → #734329

Radix Representation

Decimal	734318
Binary	10110011010001101110 (20 bits)
Octal	0o2632156
Hexadecimal	0xB346E

Divisor Catalog (16)

1 2 13 26 61 122 463 793 926 1,586 6,019 12,038 28,243 56,486 367,159 734,318

Collatz Trajectory (87 steps to reach 1)

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

734,318 367,159 1,101,478 550,739 1,652,218 826,109 2,478,328 1,239,164 619,582 309,791 929,374 464,687 1,394,062 697,031 2,091,094 1,045,547 3,136,642 1,568,321 4,704,964 2,352,482 1,176,241 3,528,724 1,764,362 882,181 2,646,544 1,323,272 661,636 330,818 165,409 496,228 248,114 124,057 372,172 186,086 93,043 279,130 139,565 418,696 209,348 104,674 52,337 157,012 78,506 39,253 117,760 58,880 29,440 14,720 7,360 3,680 1,840 920 460 230 115 346 173 520 260 130

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