λ
Harmonic Matrix

5,584,833

32 × 109 × 5693
Deficient Odd Composite

5,584,833 has digital root 9. The neighboring primes are 5584819 and 5584847; its proper-divisor sum differs from the starting integer by -3,027,246.

Prime Factor Structure

Factorization String 3^2 × 109 × 5693
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,142,420
Proper Divisor Sum 2,557,587
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5584819 ← → #5584847

Radix Representation

Decimal 5584833
Binary 10101010011011111000001 (23 bits)
Octal 0o25233701
Hexadecimal 0x5537C1

Divisor Catalog (12)

1 3 9 109 327 981 5,693 17,079 51,237 620,537 1,861,611 5,584,833

Collatz Trajectory (170 steps to reach 1)

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

5,584,833 16,754,500 8,377,250 4,188,625 12,565,876 6,282,938 3,141,469 9,424,408 4,712,204 2,356,102 1,178,051 3,534,154 1,767,077 5,301,232 2,650,616 1,325,308 662,654 331,327 993,982 496,991 1,490,974 745,487 2,236,462 1,118,231 3,354,694 1,677,347 5,032,042 2,516,021 7,548,064 3,774,032 1,887,016 943,508 471,754 235,877 707,632 353,816 176,908 88,454 44,227 132,682 66,341 199,024 99,512 49,756 24,878 12,439 37,318 18,659 55,978 27,989 83,968 41,984 20,992 10,496 5,248 2,624 1,312 656 328 164

More profiles

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