3,774,645

3² × 5 × 7 × 23 × 521

3,774,645 has the prime decomposition 3^2 × 5 × 7 × 23 × 521. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 23 × 521

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,817,472

Proper Divisor Sum 4,042,827

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3774623 ← → #3774649

Radix Representation

Decimal	3774645
Binary	1110011001100010110101 (22 bits)
Octal	0o16314265
Hexadecimal	0x3998B5

Divisor Catalog (48)

1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 521 805 1,035 1,449 1,563 2,415 2,605 3,647 4,689 7,245 7,815 10,941 11,983 18,235 23,445 32,823 35,949 54,705 59,915 83,881 107,847 164,115 179,745 251,643 419,405 539,235 754,929 1,258,215 3,774,645

Collatz Trajectory (141 steps to reach 1)

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

3,774,645 11,323,936 5,661,968 2,830,984 1,415,492 707,746 353,873 1,061,620 530,810 265,405 796,216 398,108 199,054 99,527 298,582 149,291 447,874 223,937 671,812 335,906 167,953 503,860 251,930 125,965 377,896 188,948 94,474 47,237 141,712 70,856 35,428 17,714 8,857 26,572 13,286 6,643 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995

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