λ
Sequence Observatory

8,248,989

3 × 7 × 392809
Deficient Odd Composite

Starting at 8,248,989, the Collatz iteration reaches 1 after 212 steps. The first transition is 24746968; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 392809
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,569,920
Proper Divisor Sum 4,320,931
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #8248987 ← → #8249009

Radix Representation

Decimal 8248989
Binary 11111011101111010011101 (23 bits)
Octal 0o37357235
Hexadecimal 0x7DDE9D

Divisor Catalog (8)

1 3 7 21 392,809 1,178,427 2,749,663 8,248,989

Collatz Trajectory (212 steps to reach 1)

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

8,248,989 24,746,968 12,373,484 6,186,742 3,093,371 9,280,114 4,640,057 13,920,172 6,960,086 3,480,043 10,440,130 5,220,065 15,660,196 7,830,098 3,915,049 11,745,148 5,872,574 2,936,287 8,808,862 4,404,431 13,213,294 6,606,647 19,819,942 9,909,971 29,729,914 14,864,957 44,594,872 22,297,436 11,148,718 5,574,359 16,723,078 8,361,539 25,084,618 12,542,309 37,626,928 18,813,464 9,406,732 4,703,366 2,351,683 7,055,050 3,527,525 10,582,576 5,291,288 2,645,644 1,322,822 661,411 1,984,234 992,117 2,976,352 1,488,176 744,088 372,044 186,022 93,011 279,034 139,517 418,552 209,276 104,638 52,319

More profiles

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