1,252,104

2³ × 3 × 7 × 29 × 257

Starting at 1,252,104, the Collatz iteration reaches 1 after 80 steps. The first transition is 626052; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 29 × 257

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 3,715,200

Proper Divisor Sum 2,463,096

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #1252103 ← → #1252109

Radix Representation

Decimal	1252104
Binary	100110001101100001000 (21 bits)
Octal	0o4615410
Hexadecimal	0x131B08

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 257 348 406 514 609 696 771 812 1,028 1,218 1,542 1,624 1,799 2,056 2,436 3,084 3,598 4,872 5,397 6,168 7,196 7,453 10,794 14,392 14,906 21,588 22,359 29,812 43,176 44,718 52,171 59,624 89,436 104,342 156,513 178,872 208,684

Collatz Trajectory (80 steps to reach 1)

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

1,252,104 626,052 313,026 156,513 469,540 234,770 117,385 352,156 176,078 88,039 264,118 132,059 396,178 198,089 594,268 297,134 148,567 445,702 222,851 668,554 334,277 1,002,832 501,416 250,708 125,354 62,677 188,032 94,016 47,008 23,504 11,752 5,876 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37

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