λ
Sequence Observatory

8,274,524

22 × 107 × 19333
Deficient Even Composite

Starting at 8,274,524, the Collatz iteration reaches 1 after 155 steps. The first transition is 4137262; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 107 × 19333
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,616,504
Proper Divisor Sum 6,341,980
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8274521 ← → #8274527

Radix Representation

Decimal 8274524
Binary 11111100100001001011100 (23 bits)
Octal 0o37441134
Hexadecimal 0x7E425C

Divisor Catalog (12)

1 2 4 107 214 428 19,333 38,666 77,332 2,068,631 4,137,262 8,274,524

Collatz Trajectory (155 steps to reach 1)

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

8,274,524 4,137,262 2,068,631 6,205,894 3,102,947 9,308,842 4,654,421 13,963,264 6,981,632 3,490,816 1,745,408 872,704 436,352 218,176 109,088 54,544 27,272 13,636 6,818 3,409 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460

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