3,774,981

3 × 7 × 67 × 2683

Starting at 3,774,981, the Collatz iteration reaches 1 after 154 steps. The first transition is 11324944; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 67 × 2683

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,840,384

Proper Divisor Sum 2,065,403

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3774973 ← → #3774983

Radix Representation

Decimal	3774981
Binary	1110011001101000000101 (22 bits)
Octal	0o16315005
Hexadecimal	0x399A05

Divisor Catalog (16)

1 3 7 21 67 201 469 1,407 2,683 8,049 18,781 56,343 179,761 539,283 1,258,327 3,774,981

Collatz Trajectory (154 steps to reach 1)

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

3,774,981 11,324,944 5,662,472 2,831,236 1,415,618 707,809 2,123,428 1,061,714 530,857 1,592,572 796,286 398,143 1,194,430 597,215 1,791,646 895,823 2,687,470 1,343,735 4,031,206 2,015,603 6,046,810 3,023,405 9,070,216 4,535,108 2,267,554 1,133,777 3,401,332 1,700,666 850,333 2,551,000 1,275,500 637,750 318,875 956,626 478,313 1,434,940 717,470 358,735 1,076,206 538,103 1,614,310 807,155 2,421,466 1,210,733 3,632,200 1,816,100 908,050 454,025 1,362,076 681,038 340,519 1,021,558 510,779 1,532,338 766,169 2,298,508 1,149,254 574,627 1,723,882 861,941

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