8,136,121

7 × 1162303

Starting at 8,136,121, the Collatz iteration reaches 1 after 85 steps. The first transition is 24408364; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 1162303

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 9,298,432

Proper Divisor Sum 1,162,311

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8136097 ← → #8136133

Radix Representation

Decimal	8136121
Binary	11111000010010110111001 (23 bits)
Octal	0o37022671
Hexadecimal	0x7C25B9

Divisor Catalog (4)

1 7 1,162,303 8,136,121

Collatz Trajectory (85 steps to reach 1)

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

8,136,121 24,408,364 12,204,182 6,102,091 18,306,274 9,153,137 27,459,412 13,729,706 6,864,853 20,594,560 10,297,280 5,148,640 2,574,320 1,287,160 643,580 321,790 160,895 482,686 241,343 724,030 362,015 1,086,046 543,023 1,629,070 814,535 2,443,606 1,221,803 3,665,410 1,832,705 5,498,116 2,749,058 1,374,529 4,123,588 2,061,794 1,030,897 3,092,692 1,546,346 773,173 2,319,520 1,159,760 579,880 289,940 144,970 72,485 217,456 108,728 54,364 27,182 13,591 40,774 20,387 61,162 30,581 91,744 45,872 22,936 11,468 5,734 2,867 8,602

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