8,164,892

2² × 29 × 59 × 1193

Starting at 8,164,892, the Collatz iteration reaches 1 after 67 steps. The first transition is 4082446; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 29 × 59 × 1193

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,044,400

Proper Divisor Sum 6,879,508

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8164861 ← → #8164907

Radix Representation

Decimal	8164892
Binary	11111001001011000011100 (23 bits)
Octal	0o37113034
Hexadecimal	0x7C961C

Divisor Catalog (24)

1 2 4 29 58 59 116 118 236 1,193 1,711 2,386 3,422 4,772 6,844 34,597 69,194 70,387 138,388 140,774 281,548 2,041,223 4,082,446 8,164,892

Collatz Trajectory (67 steps to reach 1)

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

8,164,892 4,082,446 2,041,223 6,123,670 3,061,835 9,185,506 4,592,753 13,778,260 6,889,130 3,444,565 10,333,696 5,166,848 2,583,424 1,291,712 645,856 322,928 161,464 80,732 40,366 20,183 60,550 30,275 90,826 45,413 136,240 68,120 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40

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