λ
Integer Codex

678,505

5 × 135701
Deficient Odd Composite

For 678,505, the 4 positive divisors have a total of 814,212. Removing 678,505 leaves 135,707, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 135701
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 814,212
Proper Divisor Sum 135,707
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #678499 ← → #678533

Radix Representation

Decimal 678505
Binary 10100101101001101001 (20 bits)
Octal 0o2455151
Hexadecimal 0xA5A69

Divisor Catalog (4)

1 5 135,701 678,505

Collatz Trajectory (92 steps to reach 1)

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

678,505 2,035,516 1,017,758 508,879 1,526,638 763,319 2,289,958 1,144,979 3,434,938 1,717,469 5,152,408 2,576,204 1,288,102 644,051 1,932,154 966,077 2,898,232 1,449,116 724,558 362,279 1,086,838 543,419 1,630,258 815,129 2,445,388 1,222,694 611,347 1,834,042 917,021 2,751,064 1,375,532 687,766 343,883 1,031,650 515,825 1,547,476 773,738 386,869 1,160,608 580,304 290,152 145,076 72,538 36,269 108,808 54,404 27,202 13,601 40,804 20,402 10,201 30,604 15,302 7,651 22,954 11,477 34,432 17,216 8,608 4,304

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