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3,909,627

36 × 31 × 173
Deficient Odd Composite

3,909,627 factors as 3^6 × 31 × 173. Its 28 positive divisors give a proper-divisor sum of 2,176,197, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 3^6 × 31 × 173
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 6,085,824
Proper Divisor Sum 2,176,197
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3909617 ← → #3909641

Radix Representation

Decimal 3909627
Binary 1110111010011111111011 (22 bits)
Octal 0o16723773
Hexadecimal 0x3BA7FB

Divisor Catalog (28)

1 3 9 27 31 81 93 173 243 279 519 729 837 1,557 2,511 4,671 5,363 7,533 14,013 16,089 22,599 42,039 48,267 126,117 144,801 434,403 1,303,209 3,909,627

Collatz Trajectory (198 steps to reach 1)

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

3,909,627 11,728,882 5,864,441 17,593,324 8,796,662 4,398,331 13,194,994 6,597,497 19,792,492 9,896,246 4,948,123 14,844,370 7,422,185 22,266,556 11,133,278 5,566,639 16,699,918 8,349,959 25,049,878 12,524,939 37,574,818 18,787,409 56,362,228 28,181,114 14,090,557 42,271,672 21,135,836 10,567,918 5,283,959 15,851,878 7,925,939 23,777,818 11,888,909 35,666,728 17,833,364 8,916,682 4,458,341 13,375,024 6,687,512 3,343,756 1,671,878 835,939 2,507,818 1,253,909 3,761,728 1,880,864 940,432 470,216 235,108 117,554 58,777 176,332 88,166 44,083 132,250 66,125 198,376 99,188 49,594 24,797

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