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Atlas › Integer Profiles › Node 3,608,865

3,608,865

32 × 5 × 13 × 31 × 199
Deficient Odd Composite

3,608,865 factors as 3^2 × 5 × 13 × 31 × 199. Its 48 positive divisors give a proper-divisor sum of 3,379,935, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 31 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,988,800
Proper Divisor Sum 3,379,935
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3608863 ← → #3608867

Radix Representation

Decimal 3608865
Binary 1101110001000100100001 (22 bits)
Octal 0o15610441
Hexadecimal 0x371121

Divisor Catalog (48)

1 3 5 9 13 15 31 39 45 65 93 117 155 195 199 279 403 465 585 597 995 1,209 1,395 1,791 2,015 2,587 2,985 3,627 6,045 6,169 7,761 8,955 12,935 18,135 18,507 23,283 30,845 38,805 55,521 80,197 92,535 116,415 240,591 277,605 400,985 721,773 1,202,955 3,608,865

Collatz Trajectory (172 steps to reach 1)

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

3,608,865 10,826,596 5,413,298 2,706,649 8,119,948 4,059,974 2,029,987 6,089,962 3,044,981 9,134,944 4,567,472 2,283,736 1,141,868 570,934 285,467 856,402 428,201 1,284,604 642,302 321,151 963,454 481,727 1,445,182 722,591 2,167,774 1,083,887 3,251,662 1,625,831 4,877,494 2,438,747 7,316,242 3,658,121 10,974,364 5,487,182 2,743,591 8,230,774 4,115,387 12,346,162 6,173,081 18,519,244 9,259,622 4,629,811 13,889,434 6,944,717 20,834,152 10,417,076 5,208,538 2,604,269 7,812,808 3,906,404 1,953,202 976,601 2,929,804 1,464,902 732,451 2,197,354 1,098,677 3,296,032 1,648,016 824,008

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