λ
Integer Codex

704,167

107 × 6581
Deficient Odd Composite

For 704,167, the 4 positive divisors have a total of 710,856. Removing 704,167 leaves 6,689, which gives the deficient classification.

Prime Factor Structure

Factorization String 107 × 6581
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 710,856
Proper Divisor Sum 6,689
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #704161 ← → #704177

Radix Representation

Decimal 704167
Binary 10101011111010100111 (20 bits)
Octal 0o2537247
Hexadecimal 0xABEA7

Divisor Catalog (4)

1 107 6,581 704,167

Collatz Trajectory (105 steps to reach 1)

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

704,167 2,112,502 1,056,251 3,168,754 1,584,377 4,753,132 2,376,566 1,188,283 3,564,850 1,782,425 5,347,276 2,673,638 1,336,819 4,010,458 2,005,229 6,015,688 3,007,844 1,503,922 751,961 2,255,884 1,127,942 563,971 1,691,914 845,957 2,537,872 1,268,936 634,468 317,234 158,617 475,852 237,926 118,963 356,890 178,445 535,336 267,668 133,834 66,917 200,752 100,376 50,188 25,094 12,547 37,642 18,821 56,464 28,232 14,116 7,058 3,529 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468

More profiles

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