λ
Prime Ledger

702,232

23 × 61 × 1439
Deficient Even Composite

702,232 has the prime decomposition 2^3 × 61 × 1439. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 61 × 1439
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,339,200
Proper Divisor Sum 636,968
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #702211 ← → #702239

Radix Representation

Decimal 702232
Binary 10101011011100011000 (20 bits)
Octal 0o2533430
Hexadecimal 0xAB718

Divisor Catalog (16)

1 2 4 8 61 122 244 488 1,439 2,878 5,756 11,512 87,779 175,558 351,116 702,232

Collatz Trajectory (123 steps to reach 1)

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

702,232 351,116 175,558 87,779 263,338 131,669 395,008 197,504 98,752 49,376 24,688 12,344 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754

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