λ
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9,106,446

2 × 3 × 61 × 139 × 179
Abundant Even Composite

9,106,446 factors as 2 × 3 × 61 × 139 × 179. Its 32 positive divisors give a proper-divisor sum of 9,642,354, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2 × 3 × 61 × 139 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,748,800
Proper Divisor Sum 9,642,354
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9106429 ← → #9106481

Radix Representation

Decimal 9106446
Binary 100010101111010000001110 (24 bits)
Octal 0o42572016
Hexadecimal 0x8AF40E

Divisor Catalog (32)

1 2 3 6 61 122 139 179 183 278 358 366 417 537 834 1,074 8,479 10,919 16,958 21,838 24,881 25,437 32,757 49,762 50,874 65,514 74,643 149,286 1,517,741 3,035,482 4,553,223 9,106,446

Collatz Trajectory (132 steps to reach 1)

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

9,106,446 4,553,223 13,659,670 6,829,835 20,489,506 10,244,753 30,734,260 15,367,130 7,683,565 23,050,696 11,525,348 5,762,674 2,881,337 8,644,012 4,322,006 2,161,003 6,483,010 3,241,505 9,724,516 4,862,258 2,431,129 7,293,388 3,646,694 1,823,347 5,470,042 2,735,021 8,205,064 4,102,532 2,051,266 1,025,633 3,076,900 1,538,450 769,225 2,307,676 1,153,838 576,919 1,730,758 865,379 2,596,138 1,298,069 3,894,208 1,947,104 973,552 486,776 243,388 121,694 60,847 182,542 91,271 273,814 136,907 410,722 205,361 616,084 308,042 154,021 462,064 231,032 115,516 57,758

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