3,721,809

3 × 7 × 13 × 13633

3,721,809 has the prime decomposition 3 × 7 × 13 × 13633. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 13633

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,108,032

Proper Divisor Sum 2,386,223

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3721807 ← → #3721811

Radix Representation

Decimal	3721809
Binary	1110001100101001010001 (22 bits)
Octal	0o16145121
Hexadecimal	0x38CA51

Divisor Catalog (16)

1 3 7 13 21 39 91 273 13,633 40,899 95,431 177,229 286,293 531,687 1,240,603 3,721,809

Collatz Trajectory (141 steps to reach 1)

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

3,721,809 11,165,428 5,582,714 2,791,357 8,374,072 4,187,036 2,093,518 1,046,759 3,140,278 1,570,139 4,710,418 2,355,209 7,065,628 3,532,814 1,766,407 5,299,222 2,649,611 7,948,834 3,974,417 11,923,252 5,961,626 2,980,813 8,942,440 4,471,220 2,235,610 1,117,805 3,353,416 1,676,708 838,354 419,177 1,257,532 628,766 314,383 943,150 471,575 1,414,726 707,363 2,122,090 1,061,045 3,183,136 1,591,568 795,784 397,892 198,946 99,473 298,420 149,210 74,605 223,816 111,908 55,954 27,977 83,932 41,966 20,983 62,950 31,475 94,426 47,213 141,640

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