λ
Harmonic Matrix

5,587,394

2 × 83 × 97 × 347
Deficient Even Composite

5,587,394 has digital root 5. The neighboring primes are 5587391 and 5587397; its proper-divisor sum differs from the starting integer by -2,580,580.

Prime Factor Structure

Factorization String 2 × 83 × 97 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,594,208
Proper Divisor Sum 3,006,814
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #5587391 ← → #5587397

Radix Representation

Decimal 5587394
Binary 10101010100000111000010 (23 bits)
Octal 0o25240702
Hexadecimal 0x5541C2

Divisor Catalog (16)

1 2 83 97 166 194 347 694 8,051 16,102 28,801 33,659 57,602 67,318 2,793,697 5,587,394

Collatz Trajectory (139 steps to reach 1)

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

5,587,394 2,793,697 8,381,092 4,190,546 2,095,273 6,285,820 3,142,910 1,571,455 4,714,366 2,357,183 7,071,550 3,535,775 10,607,326 5,303,663 15,910,990 7,955,495 23,866,486 11,933,243 35,799,730 17,899,865 53,699,596 26,849,798 13,424,899 40,274,698 20,137,349 60,412,048 30,206,024 15,103,012 7,551,506 3,775,753 11,327,260 5,663,630 2,831,815 8,495,446 4,247,723 12,743,170 6,371,585 19,114,756 9,557,378 4,778,689 14,336,068 7,168,034 3,584,017 10,752,052 5,376,026 2,688,013 8,064,040 4,032,020 2,016,010 1,008,005 3,024,016 1,512,008 756,004 378,002 189,001 567,004 283,502 141,751 425,254 212,627

More profiles

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