λ
Prime Ledger

678,701

107 × 6343
Deficient Odd Composite

678,701 has the prime decomposition 107 × 6343. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 107 × 6343
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 685,152
Proper Divisor Sum 6,451
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #678659 ← → #678719

Radix Representation

Decimal 678701
Binary 10100101101100101101 (20 bits)
Octal 0o2455455
Hexadecimal 0xA5B2D

Divisor Catalog (4)

1 107 6,343 678,701

Collatz Trajectory (136 steps to reach 1)

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

678,701 2,036,104 1,018,052 509,026 254,513 763,540 381,770 190,885 572,656 286,328 143,164 71,582 35,791 107,374 53,687 161,062 80,531 241,594 120,797 362,392 181,196 90,598 45,299 135,898 67,949 203,848 101,924 50,962 25,481 76,444 38,222 19,111 57,334 28,667 86,002 43,001 129,004 64,502 32,251 96,754 48,377 145,132 72,566 36,283 108,850 54,425 163,276 81,638 40,819 122,458 61,229 183,688 91,844 45,922 22,961 68,884 34,442 17,221 51,664 25,832

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