8,166,574

2 × 13 × 29 × 10831

Starting at 8,166,574, the Collatz iteration reaches 1 after 186 steps. The first transition is 4083287; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 29 × 10831

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,648,320

Proper Divisor Sum 5,481,746

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8166559 ← → #8166577

Radix Representation

Decimal	8166574
Binary	11111001001110010101110 (23 bits)
Octal	0o37116256
Hexadecimal	0x7C9CAE

Divisor Catalog (16)

1 2 13 26 29 58 377 754 10,831 21,662 140,803 281,606 314,099 628,198 4,083,287 8,166,574

Collatz Trajectory (186 steps to reach 1)

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

8,166,574 4,083,287 12,249,862 6,124,931 18,374,794 9,187,397 27,562,192 13,781,096 6,890,548 3,445,274 1,722,637 5,167,912 2,583,956 1,291,978 645,989 1,937,968 968,984 484,492 242,246 121,123 363,370 181,685 545,056 272,528 136,264 68,132 34,066 17,033 51,100 25,550 12,775 38,326 19,163 57,490 28,745 86,236 43,118 21,559 64,678 32,339 97,018 48,509 145,528 72,764 36,382 18,191 54,574 27,287 81,862 40,931 122,794 61,397 184,192 92,096 46,048 23,024 11,512 5,756 2,878 1,439

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