8,314,452

2² × 3² × 97 × 2381

Starting at 8,314,452, the Collatz iteration reaches 1 after 168 steps. The first transition is 4157226; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 97 × 2381

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 21,242,676

Proper Divisor Sum 12,928,224

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8314447 ← → #8314459

Radix Representation

Decimal	8314452
Binary	11111101101111001010100 (23 bits)
Octal	0o37557124
Hexadecimal	0x7EDE54

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1,164 1,746 2,381 3,492 4,762 7,143 9,524 14,286 21,429 28,572 42,858 85,716 230,957 461,914 692,871 923,828 1,385,742 2,078,613 2,771,484 4,157,226 8,314,452

Collatz Trajectory (168 steps to reach 1)

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

8,314,452 4,157,226 2,078,613 6,235,840 3,117,920 1,558,960 779,480 389,740 194,870 97,435 292,306 146,153 438,460 219,230 109,615 328,846 164,423 493,270 246,635 739,906 369,953 1,109,860 554,930 277,465 832,396 416,198 208,099 624,298 312,149 936,448 468,224 234,112 117,056 58,528 29,264 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41

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