λ
Harmonic Matrix

5,335,184

24 × 333449
Deficient Even Composite

5,335,184 has digital root 2. The neighboring primes are 5335151 and 5335189; its proper-divisor sum differs from the starting integer by -333,418.

Prime Factor Structure

Factorization String 2^4 × 333449
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 10,336,950
Proper Divisor Sum 5,001,766
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5335151 ← → #5335189

Radix Representation

Decimal 5335184
Binary 10100010110100010010000 (23 bits)
Octal 0o24264220
Hexadecimal 0x516890

Divisor Catalog (10)

1 2 4 8 16 333,449 666,898 1,333,796 2,667,592 5,335,184

Collatz Trajectory (118 steps to reach 1)

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

5,335,184 2,667,592 1,333,796 666,898 333,449 1,000,348 500,174 250,087 750,262 375,131 1,125,394 562,697 1,688,092 844,046 422,023 1,266,070 633,035 1,899,106 949,553 2,848,660 1,424,330 712,165 2,136,496 1,068,248 534,124 267,062 133,531 400,594 200,297 600,892 300,446 150,223 450,670 225,335 676,006 338,003 1,014,010 507,005 1,521,016 760,508 380,254 190,127 570,382 285,191 855,574 427,787 1,283,362 641,681 1,925,044 962,522 481,261 1,443,784 721,892 360,946 180,473 541,420 270,710 135,355 406,066 203,033

More profiles

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