8,813,752

2³ × 17 × 229 × 283

Starting at 8,813,752, the Collatz iteration reaches 1 after 150 steps. The first transition is 4406876; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 17 × 229 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,636,400

Proper Divisor Sum 8,822,648

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8813747 ← → #8813771

Radix Representation

Decimal	8813752
Binary	100001100111110010111000 (24 bits)
Octal	0o41476270
Hexadecimal	0x867CB8

Divisor Catalog (32)

1 2 4 8 17 34 68 136 229 283 458 566 916 1,132 1,832 2,264 3,893 4,811 7,786 9,622 15,572 19,244 31,144 38,488 64,807 129,614 259,228 518,456 1,101,719 2,203,438 4,406,876 8,813,752

Collatz Trajectory (150 steps to reach 1)

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

8,813,752 4,406,876 2,203,438 1,101,719 3,305,158 1,652,579 4,957,738 2,478,869 7,436,608 3,718,304 1,859,152 929,576 464,788 232,394 116,197 348,592 174,296 87,148 43,574 21,787 65,362 32,681 98,044 49,022 24,511 73,534 36,767 110,302 55,151 165,454 82,727 248,182 124,091 372,274 186,137 558,412 279,206 139,603 418,810 209,405 628,216 314,108 157,054 78,527 235,582 117,791 353,374 176,687 530,062 265,031 795,094 397,547 1,192,642 596,321 1,788,964 894,482 447,241 1,341,724 670,862 335,431

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