λ
Sequence Observatory

3,807,487

317 × 12011
Deficient Odd Composite

Starting at 3,807,487, the Collatz iteration reaches 1 after 102 steps. The first transition is 11422462; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 317 × 12011
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,819,816
Proper Divisor Sum 12,329
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3807457 ← → #3807491

Radix Representation

Decimal 3807487
Binary 1110100001100011111111 (22 bits)
Octal 0o16414377
Hexadecimal 0x3A18FF

Divisor Catalog (4)

1 317 12,011 3,807,487

Collatz Trajectory (102 steps to reach 1)

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

3,807,487 11,422,462 5,711,231 17,133,694 8,566,847 25,700,542 12,850,271 38,550,814 19,275,407 57,826,222 28,913,111 86,739,334 43,369,667 130,109,002 65,054,501 195,163,504 97,581,752 48,790,876 24,395,438 12,197,719 36,593,158 18,296,579 54,889,738 27,444,869 82,334,608 41,167,304 20,583,652 10,291,826 5,145,913 15,437,740 7,718,870 3,859,435 11,578,306 5,789,153 17,367,460 8,683,730 4,341,865 13,025,596 6,512,798 3,256,399 9,769,198 4,884,599 14,653,798 7,326,899 21,980,698 10,990,349 32,971,048 16,485,524 8,242,762 4,121,381 12,364,144 6,182,072 3,091,036 1,545,518 772,759 2,318,278 1,159,139 3,477,418 1,738,709 5,216,128

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