λ
Sequence Observatory

8,348,327

13 × 113 × 5683
Deficient Odd Composite

Starting at 8,348,327, the Collatz iteration reaches 1 after 199 steps. The first transition is 25044982; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 113 × 5683
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,071,664
Proper Divisor Sum 723,337
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8348303 ← → #8348339

Radix Representation

Decimal 8348327
Binary 11111110110001010100111 (23 bits)
Octal 0o37661247
Hexadecimal 0x7F62A7

Divisor Catalog (8)

1 13 113 1,469 5,683 73,879 642,179 8,348,327

Collatz Trajectory (199 steps to reach 1)

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

8,348,327 25,044,982 12,522,491 37,567,474 18,783,737 56,351,212 28,175,606 14,087,803 42,263,410 21,131,705 63,395,116 31,697,558 15,848,779 47,546,338 23,773,169 71,319,508 35,659,754 17,829,877 53,489,632 26,744,816 13,372,408 6,686,204 3,343,102 1,671,551 5,014,654 2,507,327 7,521,982 3,760,991 11,282,974 5,641,487 16,924,462 8,462,231 25,386,694 12,693,347 38,080,042 19,040,021 57,120,064 28,560,032 14,280,016 7,140,008 3,570,004 1,785,002 892,501 2,677,504 1,338,752 669,376 334,688 167,344 83,672 41,836 20,918 10,459 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954

More profiles

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