λ
Harmonic Matrix

5,184,221

7 × 740603
Deficient Odd Composite

5,184,221 has digital root 5. The neighboring primes are 5184199 and 5184227; its proper-divisor sum differs from the starting integer by -4,443,610.

Prime Factor Structure

Factorization String 7 × 740603
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,924,832
Proper Divisor Sum 740,611
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5184199 ← → #5184227

Radix Representation

Decimal 5184221
Binary 10011110001101011011101 (23 bits)
Octal 0o23615335
Hexadecimal 0x4F1ADD

Divisor Catalog (4)

1 7 740,603 5,184,221

Collatz Trajectory (250 steps to reach 1)

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

5,184,221 15,552,664 7,776,332 3,888,166 1,944,083 5,832,250 2,916,125 8,748,376 4,374,188 2,187,094 1,093,547 3,280,642 1,640,321 4,920,964 2,460,482 1,230,241 3,690,724 1,845,362 922,681 2,768,044 1,384,022 692,011 2,076,034 1,038,017 3,114,052 1,557,026 778,513 2,335,540 1,167,770 583,885 1,751,656 875,828 437,914 218,957 656,872 328,436 164,218 82,109 246,328 123,164 61,582 30,791 92,374 46,187 138,562 69,281 207,844 103,922 51,961 155,884 77,942 38,971 116,914 58,457 175,372 87,686 43,843 131,530 65,765 197,296

More profiles

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