8,576,841

3 × 7 × 13 × 89 × 353

Starting at 8,576,841, the Collatz iteration reaches 1 after 106 steps. The first transition is 25730524; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 89 × 353

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,273,280

Proper Divisor Sum 5,696,439

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8576839 ← → #8576849

Radix Representation

Decimal	8576841
Binary	100000101101111101001001 (24 bits)
Octal	0o40557511
Hexadecimal	0x82DF49

Divisor Catalog (32)

1 3 7 13 21 39 89 91 267 273 353 623 1,059 1,157 1,869 2,471 3,471 4,589 7,413 8,099 13,767 24,297 31,417 32,123 94,251 96,369 219,919 408,421 659,757 1,225,263 2,858,947 8,576,841

Collatz Trajectory (106 steps to reach 1)

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

8,576,841 25,730,524 12,865,262 6,432,631 19,297,894 9,648,947 28,946,842 14,473,421 43,420,264 21,710,132 10,855,066 5,427,533 16,282,600 8,141,300 4,070,650 2,035,325 6,105,976 3,052,988 1,526,494 763,247 2,289,742 1,144,871 3,434,614 1,717,307 5,151,922 2,575,961 7,727,884 3,863,942 1,931,971 5,795,914 2,897,957 8,693,872 4,346,936 2,173,468 1,086,734 543,367 1,630,102 815,051 2,445,154 1,222,577 3,667,732 1,833,866 916,933 2,750,800 1,375,400 687,700 343,850 171,925 515,776 257,888 128,944 64,472 32,236 16,118 8,059 24,178 12,089 36,268 18,134 9,067

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