λ
Sequence Observatory

8,107,412

22 × 281 × 7213
Deficient Even Composite

Starting at 8,107,412, the Collatz iteration reaches 1 after 230 steps. The first transition is 4053706; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 281 × 7213
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,240,436
Proper Divisor Sum 6,133,024
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8107387 ← → #8107417

Radix Representation

Decimal 8107412
Binary 11110111011010110010100 (23 bits)
Octal 0o36732624
Hexadecimal 0x7BB594

Divisor Catalog (12)

1 2 4 281 562 1,124 7,213 14,426 28,852 2,026,853 4,053,706 8,107,412

Collatz Trajectory (230 steps to reach 1)

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

8,107,412 4,053,706 2,026,853 6,080,560 3,040,280 1,520,140 760,070 380,035 1,140,106 570,053 1,710,160 855,080 427,540 213,770 106,885 320,656 160,328 80,164 40,082 20,041 60,124 30,062 15,031 45,094 22,547 67,642 33,821 101,464 50,732 25,366 12,683 38,050 19,025 57,076 28,538 14,269 42,808 21,404 10,702 5,351 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442

More profiles

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