λ
Sequence Observatory

4,385,113

1061 × 4133
Deficient Odd Composite

Starting at 4,385,113, the Collatz iteration reaches 1 after 317 steps. The first transition is 13155340; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 1061 × 4133
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,390,308
Proper Divisor Sum 5,195
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4385093 ← → #4385123

Radix Representation

Decimal 4385113
Binary 10000101110100101011001 (23 bits)
Octal 0o20564531
Hexadecimal 0x42E959

Divisor Catalog (4)

1 1,061 4,133 4,385,113

Collatz Trajectory (317 steps to reach 1)

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

4,385,113 13,155,340 6,577,670 3,288,835 9,866,506 4,933,253 14,799,760 7,399,880 3,699,940 1,849,970 924,985 2,774,956 1,387,478 693,739 2,081,218 1,040,609 3,121,828 1,560,914 780,457 2,341,372 1,170,686 585,343 1,756,030 878,015 2,634,046 1,317,023 3,951,070 1,975,535 5,926,606 2,963,303 8,889,910 4,444,955 13,334,866 6,667,433 20,002,300 10,001,150 5,000,575 15,001,726 7,500,863 22,502,590 11,251,295 33,753,886 16,876,943 50,630,830 25,315,415 75,946,246 37,973,123 113,919,370 56,959,685 170,879,056 85,439,528 42,719,764 21,359,882 10,679,941 32,039,824 16,019,912 8,009,956 4,004,978 2,002,489 6,007,468

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