λ
Sequence Observatory

8,729,002

2 × 4364501
Deficient Even Composite

Starting at 8,729,002, the Collatz iteration reaches 1 after 181 steps. The first transition is 4364501; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 4364501
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 13,093,506
Proper Divisor Sum 4,364,504
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8728987 ← → #8729033

Radix Representation

Decimal 8729002
Binary 100001010011000110101010 (24 bits)
Octal 0o41230652
Hexadecimal 0x8531AA

Divisor Catalog (4)

1 2 4,364,501 8,729,002

Collatz Trajectory (181 steps to reach 1)

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

8,729,002 4,364,501 13,093,504 6,546,752 3,273,376 1,636,688 818,344 409,172 204,586 102,293 306,880 153,440 76,720 38,360 19,180 9,590 4,795 14,386 7,193 21,580 10,790 5,395 16,186 8,093 24,280 12,140 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257

More profiles

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