1,386,588

2² × 3 × 7 × 17 × 971

Starting at 1,386,588, the Collatz iteration reaches 1 after 80 steps. The first transition is 693294; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 17 × 971

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 3,919,104

Proper Divisor Sum 2,532,516

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #1386587 ← → #1386607

Radix Representation

Decimal	1386588
Binary	101010010100001011100 (21 bits)
Octal	0o5224134
Hexadecimal	0x15285C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 971 1,428 1,942 2,913 3,884 5,826 6,797 11,652 13,594 16,507 20,391 27,188 33,014 40,782 49,521 66,028 81,564 99,042 115,549 198,084 231,098 346,647 462,196 693,294 1,386,588

Collatz Trajectory (80 steps to reach 1)

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

1,386,588 693,294 346,647 1,039,942 519,971 1,559,914 779,957 2,339,872 1,169,936 584,968 292,484 146,242 73,121 219,364 109,682 54,841 164,524 82,262 41,131 123,394 61,697 185,092 92,546 46,273 138,820 69,410 34,705 104,116 52,058 26,029 78,088 39,044 19,522 9,761 29,284 14,642 7,321 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245

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