8,121,052

2² × 61 × 83 × 401

Starting at 8,121,052, the Collatz iteration reaches 1 after 168 steps. The first transition is 4060526; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 61 × 83 × 401

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,655,312

Proper Divisor Sum 6,534,260

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #8121049 ← → #8121059

Radix Representation

Decimal	8121052
Binary	11110111110101011011100 (23 bits)
Octal	0o36765334
Hexadecimal	0x7BEADC

Divisor Catalog (24)

1 2 4 61 83 122 166 244 332 401 802 1,604 5,063 10,126 20,252 24,461 33,283 48,922 66,566 97,844 133,132 2,030,263 4,060,526 8,121,052

Collatz Trajectory (168 steps to reach 1)

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

8,121,052 4,060,526 2,030,263 6,090,790 3,045,395 9,136,186 4,568,093 13,704,280 6,852,140 3,426,070 1,713,035 5,139,106 2,569,553 7,708,660 3,854,330 1,927,165 5,781,496 2,890,748 1,445,374 722,687 2,168,062 1,084,031 3,252,094 1,626,047 4,878,142 2,439,071 7,317,214 3,658,607 10,975,822 5,487,911 16,463,734 8,231,867 24,695,602 12,347,801 37,043,404 18,521,702 9,260,851 27,782,554 13,891,277 41,673,832 20,836,916 10,418,458 5,209,229 15,627,688 7,813,844 3,906,922 1,953,461 5,860,384 2,930,192 1,465,096 732,548 366,274 183,137 549,412 274,706 137,353 412,060 206,030 103,015 309,046

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