λ
Harmonic Matrix

988,675

52 × 71 × 557
Deficient Odd Composite

988,675 has digital root 7. The neighboring primes are 988661 and 988681; its proper-divisor sum differs from the starting integer by -731,894.

Prime Factor Structure

Factorization String 5^2 × 71 × 557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,245,456
Proper Divisor Sum 256,781
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #988661 ← → #988681

Radix Representation

Decimal 988675
Binary 11110001011000000011 (20 bits)
Octal 0o3613003
Hexadecimal 0xF1603

Divisor Catalog (12)

1 5 25 71 355 557 1,775 2,785 13,925 39,547 197,735 988,675

Collatz Trajectory (121 steps to reach 1)

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

988,675 2,966,026 1,483,013 4,449,040 2,224,520 1,112,260 556,130 278,065 834,196 417,098 208,549 625,648 312,824 156,412 78,206 39,103 117,310 58,655 175,966 87,983 263,950 131,975 395,926 197,963 593,890 296,945 890,836 445,418 222,709 668,128 334,064 167,032 83,516 41,758 20,879 62,638 31,319 93,958 46,979 140,938 70,469 211,408 105,704 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636

More profiles

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