3,774,664

2³ × 47 × 10039

3,774,664 factors as 2^3 × 47 × 10039. Its 16 positive divisors give a proper-divisor sum of 3,454,136, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^3 × 47 × 10039

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,228,800

Proper Divisor Sum 3,454,136

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3774649 ← → #3774671

Radix Representation

Decimal	3774664
Binary	1110011001100011001000 (22 bits)
Octal	0o16314310
Hexadecimal	0x3998C8

Divisor Catalog (16)

1 2 4 8 47 94 188 376 10,039 20,078 40,156 80,312 471,833 943,666 1,887,332 3,774,664

Collatz Trajectory (141 steps to reach 1)

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

3,774,664 1,887,332 943,666 471,833 1,415,500 707,750 353,875 1,061,626 530,813 1,592,440 796,220 398,110 199,055 597,166 298,583 895,750 447,875 1,343,626 671,813 2,015,440 1,007,720 503,860 251,930 125,965 377,896 188,948 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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