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Atlas › Integer Profiles › Node 13,308,218

13,308,218

2 × 7 × 11 × 103 × 839
Deficient Even Composite

13,308,218 factors as 2 × 7 × 11 × 103 × 839. Its 32 positive divisors give a proper-divisor sum of 11,851,462, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 103 × 839
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,159,680
Proper Divisor Sum 11,851,462
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #13308193 ← → #13308221

Radix Representation

Decimal 13308218
Binary 110010110001000100111010 (24 bits)
Octal 0o62610472
Hexadecimal 0xCB113A

Divisor Catalog (32)

1 2 7 11 14 22 77 103 154 206 721 839 1,133 1,442 1,678 2,266 5,873 7,931 9,229 11,746 15,862 18,458 64,603 86,417 129,206 172,834 604,919 950,587 1,209,838 1,901,174 6,654,109 13,308,218

Collatz Trajectory (210 steps to reach 1)

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

13,308,218 6,654,109 19,962,328 9,981,164 4,990,582 2,495,291 7,485,874 3,742,937 11,228,812 5,614,406 2,807,203 8,421,610 4,210,805 12,632,416 6,316,208 3,158,104 1,579,052 789,526 394,763 1,184,290 592,145 1,776,436 888,218 444,109 1,332,328 666,164 333,082 166,541 499,624 249,812 124,906 62,453 187,360 93,680 46,840 23,420 11,710 5,855 17,566 8,783 26,350 13,175 39,526 19,763 59,290 29,645 88,936 44,468 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074

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