λ
Sequence Observatory

8,456,493

3 × 491 × 5741
Deficient Odd Composite

Starting at 8,456,493, the Collatz iteration reaches 1 after 150 steps. The first transition is 25369480; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 491 × 5741
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,300,256
Proper Divisor Sum 2,843,763
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8456489 ← → #8456507

Radix Representation

Decimal 8456493
Binary 100000010000100100101101 (24 bits)
Octal 0o40204455
Hexadecimal 0x81092D

Divisor Catalog (8)

1 3 491 1,473 5,741 17,223 2,818,831 8,456,493

Collatz Trajectory (150 steps to reach 1)

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

8,456,493 25,369,480 12,684,740 6,342,370 3,171,185 9,513,556 4,756,778 2,378,389 7,135,168 3,567,584 1,783,792 891,896 445,948 222,974 111,487 334,462 167,231 501,694 250,847 752,542 376,271 1,128,814 564,407 1,693,222 846,611 2,539,834 1,269,917 3,809,752 1,904,876 952,438 476,219 1,428,658 714,329 2,142,988 1,071,494 535,747 1,607,242 803,621 2,410,864 1,205,432 602,716 301,358 150,679 452,038 226,019 678,058 339,029 1,017,088 508,544 254,272 127,136 63,568 31,784 15,892 7,946 3,973 11,920 5,960 2,980 1,490

More profiles

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