λ
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9,141,012

22 × 34 × 89 × 317
Abundant Even Composite

9,141,012 factors as 2^2 × 3^4 × 89 × 317. Its 60 positive divisors give a proper-divisor sum of 15,100,128, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 89 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 24,241,140
Proper Divisor Sum 15,100,128
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #9141007 ← → #9141023

Radix Representation

Decimal 9141012
Binary 100010110111101100010100 (24 bits)
Octal 0o42675424
Hexadecimal 0x8B7B14

Divisor Catalog (60)

1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 267 317 324 356 534 634 801 951 1,068 1,268 1,602 1,902 2,403 2,853 3,204 3,804 4,806 5,706 7,209 8,559 9,612 11,412 14,418 17,118 25,677 28,213 28,836 34,236 51,354 56,426 84,639 102,708 112,852 169,278 253,917 338,556 507,834 761,751 1,015,668 1,523,502 2,285,253 3,047,004 4,570,506 9,141,012

Collatz Trajectory (106 steps to reach 1)

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

9,141,012 4,570,506 2,285,253 6,855,760 3,427,880 1,713,940 856,970 428,485 1,285,456 642,728 321,364 160,682 80,341 241,024 120,512 60,256 30,128 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618

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