λ
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Atlas › Integer Profiles › Node 1,908,264

1,908,264

23 × 3 × 23 × 3457
Abundant Even Composite

1,908,264 factors as 2^3 × 3 × 23 × 3457. Its 32 positive divisors give a proper-divisor sum of 3,071,256, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 23 × 3457
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,979,520
Proper Divisor Sum 3,071,256
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1908259 ← → #1908289

Radix Representation

Decimal 1908264
Binary 111010001111000101000 (21 bits)
Octal 0o7217050
Hexadecimal 0x1D1E28

Divisor Catalog (32)

1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 3,457 6,914 10,371 13,828 20,742 27,656 41,484 79,511 82,968 159,022 238,533 318,044 477,066 636,088 954,132 1,908,264

Collatz Trajectory (78 steps to reach 1)

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

1,908,264 954,132 477,066 238,533 715,600 357,800 178,900 89,450 44,725 134,176 67,088 33,544 16,772 8,386 4,193 12,580 6,290 3,145 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58

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