1,376,109

3⁵ × 7 × 809

Starting at 1,376,109, the Collatz iteration reaches 1 after 199 steps. The first transition is 4128328; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 7 × 809

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,358,720

Proper Divisor Sum 982,611

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1376093 ← → #1376131

Radix Representation

Decimal	1376109
Binary	101001111111101101101 (21 bits)
Octal	0o5177555
Hexadecimal	0x14FF6D

Divisor Catalog (24)

1 3 7 9 21 27 63 81 189 243 567 809 1,701 2,427 5,663 7,281 16,989 21,843 50,967 65,529 152,901 196,587 458,703 1,376,109

Collatz Trajectory (199 steps to reach 1)

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

1,376,109 4,128,328 2,064,164 1,032,082 516,041 1,548,124 774,062 387,031 1,161,094 580,547 1,741,642 870,821 2,612,464 1,306,232 653,116 326,558 163,279 489,838 244,919 734,758 367,379 1,102,138 551,069 1,653,208 826,604 413,302 206,651 619,954 309,977 929,932 464,966 232,483 697,450 348,725 1,046,176 523,088 261,544 130,772 65,386 32,693 98,080 49,040 24,520 12,260 6,130 3,065 9,196 4,598 2,299 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734

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