8,831,508

2² × 3 × 7 × 105137

Starting at 8,831,508, the Collatz iteration reaches 1 after 181 steps. The first transition is 4415754; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 105137

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 23,550,912

Proper Divisor Sum 14,719,404

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8831479 ← → #8831509

Radix Representation

Decimal	8831508
Binary	100001101100001000010100 (24 bits)
Octal	0o41541024
Hexadecimal	0x86C214

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 105,137 210,274 315,411 420,548 630,822 735,959 1,261,644 1,471,918 2,207,877 2,943,836 4,415,754 8,831,508

Collatz Trajectory (181 steps to reach 1)

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

8,831,508 4,415,754 2,207,877 6,623,632 3,311,816 1,655,908 827,954 413,977 1,241,932 620,966 310,483 931,450 465,725 1,397,176 698,588 349,294 174,647 523,942 261,971 785,914 392,957 1,178,872 589,436 294,718 147,359 442,078 221,039 663,118 331,559 994,678 497,339 1,492,018 746,009 2,238,028 1,119,014 559,507 1,678,522 839,261 2,517,784 1,258,892 629,446 314,723 944,170 472,085 1,416,256 708,128 354,064 177,032 88,516 44,258 22,129 66,388 33,194 16,597 49,792 24,896 12,448 6,224 3,112 1,556

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