8,138,548

2² × 11 × 184967

Starting at 8,138,548, the Collatz iteration reaches 1 after 137 steps. The first transition is 4069274; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 184967

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,537,312

Proper Divisor Sum 7,398,764

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8138539 ← → #8138549

Radix Representation

Decimal	8138548
Binary	11111000010111100110100 (23 bits)
Octal	0o37027464
Hexadecimal	0x7C2F34

Divisor Catalog (12)

1 2 4 11 22 44 184,967 369,934 739,868 2,034,637 4,069,274 8,138,548

Collatz Trajectory (137 steps to reach 1)

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

8,138,548 4,069,274 2,034,637 6,103,912 3,051,956 1,525,978 762,989 2,288,968 1,144,484 572,242 286,121 858,364 429,182 214,591 643,774 321,887 965,662 482,831 1,448,494 724,247 2,172,742 1,086,371 3,259,114 1,629,557 4,888,672 2,444,336 1,222,168 611,084 305,542 152,771 458,314 229,157 687,472 343,736 171,868 85,934 42,967 128,902 64,451 193,354 96,677 290,032 145,016 72,508 36,254 18,127 54,382 27,191 81,574 40,787 122,362 61,181 183,544 91,772 45,886 22,943 68,830 34,415 103,246 51,623

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