λ
Prime Ledger

723,626

2 × 23 × 15731
Deficient Even Composite

723,626 has the prime decomposition 2 × 23 × 15731. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 23 × 15731
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,132,704
Proper Divisor Sum 409,078
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #723623 ← → #723661

Radix Representation

Decimal 723626
Binary 10110000101010101010 (20 bits)
Octal 0o2605252
Hexadecimal 0xB0AAA

Divisor Catalog (8)

1 2 23 46 15,731 31,462 361,813 723,626

Collatz Trajectory (136 steps to reach 1)

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

723,626 361,813 1,085,440 542,720 271,360 135,680 67,840 33,920 16,960 8,480 4,240 2,120 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790

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