λ
Harmonic Matrix

5,616,169

13 × 29 × 14897
Deficient Odd Composite

5,616,169 has digital root 7. The neighboring primes are 5616161 and 5616181; its proper-divisor sum differs from the starting integer by -4,975,178.

Prime Factor Structure

Factorization String 13 × 29 × 14897
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,257,160
Proper Divisor Sum 640,991
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5616161 ← → #5616181

Radix Representation

Decimal 5616169
Binary 10101011011001000101001 (23 bits)
Octal 0o25331051
Hexadecimal 0x55B229

Divisor Catalog (8)

1 13 29 377 14,897 193,661 432,013 5,616,169

Collatz Trajectory (307 steps to reach 1)

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

5,616,169 16,848,508 8,424,254 4,212,127 12,636,382 6,318,191 18,954,574 9,477,287 28,431,862 14,215,931 42,647,794 21,323,897 63,971,692 31,985,846 15,992,923 47,978,770 23,989,385 71,968,156 35,984,078 17,992,039 53,976,118 26,988,059 80,964,178 40,482,089 121,446,268 60,723,134 30,361,567 91,084,702 45,542,351 136,627,054 68,313,527 204,940,582 102,470,291 307,410,874 153,705,437 461,116,312 230,558,156 115,279,078 57,639,539 172,918,618 86,459,309 259,377,928 129,688,964 64,844,482 32,422,241 97,266,724 48,633,362 24,316,681 72,950,044 36,475,022 18,237,511 54,712,534 27,356,267 82,068,802 41,034,401 123,103,204 61,551,602 30,775,801 92,327,404 46,163,702

More profiles

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