734,684

2² × 61 × 3011

For 734,684, the 12 positive divisors have a total of 1,307,208. Removing 734,684 leaves 572,524, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 61 × 3011

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,307,208

Proper Divisor Sum 572,524

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #734663 ← → #734687

Radix Representation

Decimal	734684
Binary	10110011010111011100 (20 bits)
Octal	0o2632734
Hexadecimal	0xB35DC

Divisor Catalog (12)

1 2 4 61 122 244 3,011 6,022 12,044 183,671 367,342 734,684

Collatz Trajectory (74 steps to reach 1)

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

734,684 367,342 183,671 551,014 275,507 826,522 413,261 1,239,784 619,892 309,946 154,973 464,920 232,460 116,230 58,115 174,346 87,173 261,520 130,760 65,380 32,690 16,345 49,036 24,518 12,259 36,778 18,389 55,168 27,584 13,792 6,896 3,448 1,724 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22

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