2,071,165

5 × 401 × 1033

Starting at 2,071,165, the Collatz iteration reaches 1 after 197 steps. The first transition is 6213496; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 401 × 1033

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,494,008

Proper Divisor Sum 422,843

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2071159 ← → #2071169

Radix Representation

Decimal	2071165
Binary	111111001101001111101 (21 bits)
Octal	0o7715175
Hexadecimal	0x1F9A7D

Divisor Catalog (8)

1 5 401 1,033 2,005 5,165 414,233 2,071,165

Collatz Trajectory (197 steps to reach 1)

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

2,071,165 6,213,496 3,106,748 1,553,374 776,687 2,330,062 1,165,031 3,495,094 1,747,547 5,242,642 2,621,321 7,863,964 3,931,982 1,965,991 5,897,974 2,948,987 8,846,962 4,423,481 13,270,444 6,635,222 3,317,611 9,952,834 4,976,417 14,929,252 7,464,626 3,732,313 11,196,940 5,598,470 2,799,235 8,397,706 4,198,853 12,596,560 6,298,280 3,149,140 1,574,570 787,285 2,361,856 1,180,928 590,464 295,232 147,616 73,808 36,904 18,452 9,226 4,613 13,840 6,920 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194

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