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Atlas › Integer Profiles › Node 7,309,904

7,309,904

24 × 7 × 65267
Abundant Even Composite

7,309,904 factors as 2^4 × 7 × 65267. Its 20 positive divisors give a proper-divisor sum of 8,876,560, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 65267
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 16,186,464
Proper Divisor Sum 8,876,560
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7309903 ← → #7309921

Radix Representation

Decimal 7309904
Binary 11011111000101001010000 (23 bits)
Octal 0o33705120
Hexadecimal 0x6F8A50

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 65,267 130,534 261,068 456,869 522,136 913,738 1,044,272 1,827,476 3,654,952 7,309,904

Collatz Trajectory (160 steps to reach 1)

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

7,309,904 3,654,952 1,827,476 913,738 456,869 1,370,608 685,304 342,652 171,326 85,663 256,990 128,495 385,486 192,743 578,230 289,115 867,346 433,673 1,301,020 650,510 325,255 975,766 487,883 1,463,650 731,825 2,195,476 1,097,738 548,869 1,646,608 823,304 411,652 205,826 102,913 308,740 154,370 77,185 231,556 115,778 57,889 173,668 86,834 43,417 130,252 65,126 32,563 97,690 48,845 146,536 73,268 36,634 18,317 54,952 27,476 13,738 6,869 20,608 10,304 5,152 2,576 1,288

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