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Atlas › Integer Profiles › Node 7,207,616

7,207,616

26 × 13 × 8663
Abundant Even Composite

7,207,616 factors as 2^6 × 13 × 8663. Its 28 positive divisors give a proper-divisor sum of 8,196,976, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 8663
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 15,404,592
Proper Divisor Sum 8,196,976
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7207597 ← → #7207619

Radix Representation

Decimal 7207616
Binary 11011011111101011000000 (23 bits)
Octal 0o33375300
Hexadecimal 0x6DFAC0

Divisor Catalog (28)

1 2 4 8 13 16 26 32 52 64 104 208 416 832 8,663 17,326 34,652 69,304 112,619 138,608 225,238 277,216 450,476 554,432 900,952 1,801,904 3,603,808 7,207,616

Collatz Trajectory (235 steps to reach 1)

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

7,207,616 3,603,808 1,801,904 900,952 450,476 225,238 112,619 337,858 168,929 506,788 253,394 126,697 380,092 190,046 95,023 285,070 142,535 427,606 213,803 641,410 320,705 962,116 481,058 240,529 721,588 360,794 180,397 541,192 270,596 135,298 67,649 202,948 101,474 50,737 152,212 76,106 38,053 114,160 57,080 28,540 14,270 7,135 21,406 10,703 32,110 16,055 48,166 24,083 72,250 36,125 108,376 54,188 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724

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