8,124,636

2² × 3 × 13 × 52081

Starting at 8,124,636, the Collatz iteration reaches 1 after 274 steps. The first transition is 4062318; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 52081

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,416,144

Proper Divisor Sum 12,291,508

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8124629 ← → #8124637

Radix Representation

Decimal	8124636
Binary	11110111111100011011100 (23 bits)
Octal	0o36774334
Hexadecimal	0x7BF8DC

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 52,081 104,162 156,243 208,324 312,486 624,972 677,053 1,354,106 2,031,159 2,708,212 4,062,318 8,124,636

Collatz Trajectory (274 steps to reach 1)

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

8,124,636 4,062,318 2,031,159 6,093,478 3,046,739 9,140,218 4,570,109 13,710,328 6,855,164 3,427,582 1,713,791 5,141,374 2,570,687 7,712,062 3,856,031 11,568,094 5,784,047 17,352,142 8,676,071 26,028,214 13,014,107 39,042,322 19,521,161 58,563,484 29,281,742 14,640,871 43,922,614 21,961,307 65,883,922 32,941,961 98,825,884 49,412,942 24,706,471 74,119,414 37,059,707 111,179,122 55,589,561 166,768,684 83,384,342 41,692,171 125,076,514 62,538,257 187,614,772 93,807,386 46,903,693 140,711,080 70,355,540 35,177,770 17,588,885 52,766,656 26,383,328 13,191,664 6,595,832 3,297,916 1,648,958 824,479 2,473,438 1,236,719 3,710,158 1,855,079

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