8,127,012

2² × 3 × 223 × 3037

Starting at 8,127,012, the Collatz iteration reaches 1 after 137 steps. The first transition is 4063506; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 223 × 3037

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,054,336

Proper Divisor Sum 10,927,324

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8127001 ← → #8127023

Radix Representation

Decimal	8127012
Binary	11111000000001000100100 (23 bits)
Octal	0o37001044
Hexadecimal	0x7C0224

Divisor Catalog (24)

1 2 3 4 6 12 223 446 669 892 1,338 2,676 3,037 6,074 9,111 12,148 18,222 36,444 677,251 1,354,502 2,031,753 2,709,004 4,063,506 8,127,012

Collatz Trajectory (137 steps to reach 1)

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

8,127,012 4,063,506 2,031,753 6,095,260 3,047,630 1,523,815 4,571,446 2,285,723 6,857,170 3,428,585 10,285,756 5,142,878 2,571,439 7,714,318 3,857,159 11,571,478 5,785,739 17,357,218 8,678,609 26,035,828 13,017,914 6,508,957 19,526,872 9,763,436 4,881,718 2,440,859 7,322,578 3,661,289 10,983,868 5,491,934 2,745,967 8,237,902 4,118,951 12,356,854 6,178,427 18,535,282 9,267,641 27,802,924 13,901,462 6,950,731 20,852,194 10,426,097 31,278,292 15,639,146 7,819,573 23,458,720 11,729,360 5,864,680 2,932,340 1,466,170 733,085 2,199,256 1,099,628 549,814 274,907 824,722 412,361 1,237,084 618,542 309,271

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