3,386,565

3² × 5 × 7 × 13 × 827

3,386,565 is odd and not a perfect square. Its factorization is 3^2 × 5 × 7 × 13 × 827 and its 48 divisors sum to 7,233,408.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 13 × 827

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,233,408

Proper Divisor Sum 3,846,843

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3386563 ← → #3386567

Radix Representation

Decimal	3386565
Binary	1100111010110011000101 (22 bits)
Octal	0o14726305
Hexadecimal	0x33ACC5

Divisor Catalog (48)

1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 827 1,365 2,481 4,095 4,135 5,789 7,443 10,751 12,405 17,367 28,945 32,253 37,215 52,101 53,755 75,257 86,835 96,759 161,265 225,771 260,505 376,285 483,795 677,313 1,128,855 3,386,565

Collatz Trajectory (159 steps to reach 1)

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

3,386,565 10,159,696 5,079,848 2,539,924 1,269,962 634,981 1,904,944 952,472 476,236 238,118 119,059 357,178 178,589 535,768 267,884 133,942 66,971 200,914 100,457 301,372 150,686 75,343 226,030 113,015 339,046 169,523 508,570 254,285 762,856 381,428 190,714 95,357 286,072 143,036 71,518 35,759 107,278 53,639 160,918 80,459 241,378 120,689 362,068 181,034 90,517 271,552 135,776 67,888 33,944 16,972 8,486 4,243 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581

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