8,802,588

2² × 3 × 827 × 887

Starting at 8,802,588, the Collatz iteration reaches 1 after 150 steps. The first transition is 4401294; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 827 × 887

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,587,392

Proper Divisor Sum 11,784,804

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8802571 ← → #8802589

Radix Representation

Decimal	8802588
Binary	100001100101000100011100 (24 bits)
Octal	0o41450434
Hexadecimal	0x86511C

Divisor Catalog (24)

1 2 3 4 6 12 827 887 1,654 1,774 2,481 2,661 3,308 3,548 4,962 5,322 9,924 10,644 733,549 1,467,098 2,200,647 2,934,196 4,401,294 8,802,588

Collatz Trajectory (150 steps to reach 1)

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

8,802,588 4,401,294 2,200,647 6,601,942 3,300,971 9,902,914 4,951,457 14,854,372 7,427,186 3,713,593 11,140,780 5,570,390 2,785,195 8,355,586 4,177,793 12,533,380 6,266,690 3,133,345 9,400,036 4,700,018 2,350,009 7,050,028 3,525,014 1,762,507 5,287,522 2,643,761 7,931,284 3,965,642 1,982,821 5,948,464 2,974,232 1,487,116 743,558 371,779 1,115,338 557,669 1,673,008 836,504 418,252 209,126 104,563 313,690 156,845 470,536 235,268 117,634 58,817 176,452 88,226 44,113 132,340 66,170 33,085 99,256 49,628 24,814 12,407 37,222 18,611 55,834

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