8,938,272

2⁵ × 3 × 7 × 47 × 283

Starting at 8,938,272, the Collatz iteration reaches 1 after 88 steps. The first transition is 4469136; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 47 × 283

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 27,482,112

Proper Divisor Sum 18,543,840

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8938271 ← → #8938273

Radix Representation

Decimal	8938272
Binary	100010000110001100100000 (24 bits)
Octal	0o42061440
Hexadecimal	0x886320

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 283 329 336 376 564 566 658 672 752 849 987 1,128 1,132 1,316 1,504 1,698 1,974 1,981 2,256 2,264 2,632 3,396 3,948 3,962 4,512 4,528 5,264 5,943 6,792 7,896 7,924 9,056 10,528

Collatz Trajectory (88 steps to reach 1)

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

8,938,272 4,469,136 2,234,568 1,117,284 558,642 279,321 837,964 418,982 209,491 628,474 314,237 942,712 471,356 235,678 117,839 353,518 176,759 530,278 265,139 795,418 397,709 1,193,128 596,564 298,282 149,141 447,424 223,712 111,856 55,928 27,964 13,982 6,991 20,974 10,487 31,462 15,731 47,194 23,597 70,792 35,396 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576

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