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Atlas › Integer Profiles › Node 7,307,322

7,307,322

2 × 3 × 11 × 53 × 2089
Abundant Even Composite

7,307,322 factors as 2 × 3 × 11 × 53 × 2089. Its 32 positive divisors give a proper-divisor sum of 8,944,518, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 53 × 2089
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,251,840
Proper Divisor Sum 8,944,518
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7307309 ← → #7307323

Radix Representation

Decimal 7307322
Binary 11011111000000000111010 (23 bits)
Octal 0o33700072
Hexadecimal 0x6F803A

Divisor Catalog (32)

1 2 3 6 11 22 33 53 66 106 159 318 583 1,166 1,749 2,089 3,498 4,178 6,267 12,534 22,979 45,958 68,937 110,717 137,874 221,434 332,151 664,302 1,217,887 2,435,774 3,653,661 7,307,322

Collatz Trajectory (116 steps to reach 1)

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

7,307,322 3,653,661 10,960,984 5,480,492 2,740,246 1,370,123 4,110,370 2,055,185 6,165,556 3,082,778 1,541,389 4,624,168 2,312,084 1,156,042 578,021 1,734,064 867,032 433,516 216,758 108,379 325,138 162,569 487,708 243,854 121,927 365,782 182,891 548,674 274,337 823,012 411,506 205,753 617,260 308,630 154,315 462,946 231,473 694,420 347,210 173,605 520,816 260,408 130,204 65,102 32,551 97,654 48,827 146,482 73,241 219,724 109,862 54,931 164,794 82,397 247,192 123,596 61,798 30,899 92,698 46,349

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