λ
Prime Ledger

343,637

72 × 7013
Deficient Odd Composite

343,637 has the prime decomposition 7^2 × 7013. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 7013
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 399,798
Proper Divisor Sum 56,161
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #343631 ← → #343639

Radix Representation

Decimal 343637
Binary 1010011111001010101 (19 bits)
Octal 0o1237125
Hexadecimal 0x53E55

Divisor Catalog (6)

1 7 49 7,013 49,091 343,637

Collatz Trajectory (78 steps to reach 1)

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

343,637 1,030,912 515,456 257,728 128,864 64,432 32,216 16,108 8,054 4,027 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61

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