λ
Harmonic Matrix

8,717,439

3 × 811 × 3583
Deficient Odd Composite

8,717,439 has digital root 3. The neighboring primes are 8717393 and 8717491; its proper-divisor sum differs from the starting integer by -5,794,046.

Prime Factor Structure

Factorization String 3 × 811 × 3583
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,640,832
Proper Divisor Sum 2,923,393
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8717393 ← → #8717491

Radix Representation

Decimal 8717439
Binary 100001010000010001111111 (24 bits)
Octal 0o41202177
Hexadecimal 0x85047F

Divisor Catalog (8)

1 3 811 2,433 3,583 10,749 2,905,813 8,717,439

Collatz Trajectory (212 steps to reach 1)

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

8,717,439 26,152,318 13,076,159 39,228,478 19,614,239 58,842,718 29,421,359 88,264,078 44,132,039 132,396,118 66,198,059 198,594,178 99,297,089 297,891,268 148,945,634 74,472,817 223,418,452 111,709,226 55,854,613 167,563,840 83,781,920 41,890,960 20,945,480 10,472,740 5,236,370 2,618,185 7,854,556 3,927,278 1,963,639 5,890,918 2,945,459 8,836,378 4,418,189 13,254,568 6,627,284 3,313,642 1,656,821 4,970,464 2,485,232 1,242,616 621,308 310,654 155,327 465,982 232,991 698,974 349,487 1,048,462 524,231 1,572,694 786,347 2,359,042 1,179,521 3,538,564 1,769,282 884,641 2,653,924 1,326,962 663,481 1,990,444

More profiles

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