8,886,276

2² × 3² × 7 × 179 × 197

Starting at 8,886,276, the Collatz iteration reaches 1 after 168 steps. The first transition is 4443138; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 179 × 197

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 25,945,920

Proper Divisor Sum 17,059,644

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8886247 ← → #8886287

Radix Representation

Decimal	8886276
Binary	100001111001100000000100 (24 bits)
Octal	0o41714004
Hexadecimal	0x879804

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 179 197 252 358 394 537 591 716 788 1,074 1,182 1,253 1,379 1,611 1,773 2,148 2,364 2,506 2,758 3,222 3,546 3,759 4,137 5,012 5,516 6,444 7,092 7,518 8,274 11,277 12,411 15,036 16,548 22,554 24,822 35,263 45,108 49,644 70,526 105,789 141,052 211,578 246,841

Collatz Trajectory (168 steps to reach 1)

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

8,886,276 4,443,138 2,221,569 6,664,708 3,332,354 1,666,177 4,998,532 2,499,266 1,249,633 3,748,900 1,874,450 937,225 2,811,676 1,405,838 702,919 2,108,758 1,054,379 3,163,138 1,581,569 4,744,708 2,372,354 1,186,177 3,558,532 1,779,266 889,633 2,668,900 1,334,450 667,225 2,001,676 1,000,838 500,419 1,501,258 750,629 2,251,888 1,125,944 562,972 281,486 140,743 422,230 211,115 633,346 316,673 950,020 475,010 237,505 712,516 356,258 178,129 534,388 267,194 133,597 400,792 200,396 100,198 50,099 150,298 75,149 225,448 112,724 56,362

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