λ
Integer Codex

739,879

7 × 19 × 5563
Deficient Odd Composite

For 739,879, the 8 positive divisors have a total of 890,240. Removing 739,879 leaves 150,361, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 19 × 5563
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 890,240
Proper Divisor Sum 150,361
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #739861 ← → #739909

Radix Representation

Decimal 739879
Binary 10110100101000100111 (20 bits)
Octal 0o2645047
Hexadecimal 0xB4A27

Divisor Catalog (8)

1 7 19 133 5,563 38,941 105,697 739,879

Collatz Trajectory (74 steps to reach 1)

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

739,879 2,219,638 1,109,819 3,329,458 1,664,729 4,994,188 2,497,094 1,248,547 3,745,642 1,872,821 5,618,464 2,809,232 1,404,616 702,308 351,154 175,577 526,732 263,366 131,683 395,050 197,525 592,576 296,288 148,144 74,072 37,036 18,518 9,259 27,778 13,889 41,668 20,834 10,417 31,252 15,626 7,813 23,440 11,720 5,860 2,930 1,465 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22

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