λ
Sequence Observatory

3,713,821

41 × 239 × 379
Deficient Odd Composite

Starting at 3,713,821, the Collatz iteration reaches 1 after 296 steps. The first transition is 11141464; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 41 × 239 × 379
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,830,400
Proper Divisor Sum 116,579
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3713807 ← → #3713849

Radix Representation

Decimal 3713821
Binary 1110001010101100011101 (22 bits)
Octal 0o16125435
Hexadecimal 0x38AB1D

Divisor Catalog (8)

1 41 239 379 9,799 15,539 90,581 3,713,821

Collatz Trajectory (296 steps to reach 1)

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

3,713,821 11,141,464 5,570,732 2,785,366 1,392,683 4,178,050 2,089,025 6,267,076 3,133,538 1,566,769 4,700,308 2,350,154 1,175,077 3,525,232 1,762,616 881,308 440,654 220,327 660,982 330,491 991,474 495,737 1,487,212 743,606 371,803 1,115,410 557,705 1,673,116 836,558 418,279 1,254,838 627,419 1,882,258 941,129 2,823,388 1,411,694 705,847 2,117,542 1,058,771 3,176,314 1,588,157 4,764,472 2,382,236 1,191,118 595,559 1,786,678 893,339 2,680,018 1,340,009 4,020,028 2,010,014 1,005,007 3,015,022 1,507,511 4,522,534 2,261,267 6,783,802 3,391,901 10,175,704 5,087,852

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