λ
Prime Ledger

678,349

7 × 96907
Deficient Odd Composite

678,349 has the prime decomposition 7 × 96907. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 96907
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 775,264
Proper Divisor Sum 96,915
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #678343 ← → #678367

Radix Representation

Decimal 678349
Binary 10100101100111001101 (20 bits)
Octal 0o2454715
Hexadecimal 0xA59CD

Divisor Catalog (4)

1 7 96,907 678,349

Collatz Trajectory (123 steps to reach 1)

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

678,349 2,035,048 1,017,524 508,762 254,381 763,144 381,572 190,786 95,393 286,180 143,090 71,545 214,636 107,318 53,659 160,978 80,489 241,468 120,734 60,367 181,102 90,551 271,654 135,827 407,482 203,741 611,224 305,612 152,806 76,403 229,210 114,605 343,816 171,908 85,954 42,977 128,932 64,466 32,233 96,700 48,350 24,175 72,526 36,263 108,790 54,395 163,186 81,593 244,780 122,390 61,195 183,586 91,793 275,380 137,690 68,845 206,536 103,268 51,634 25,817

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