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Atlas › Integer Profiles › Node 9,064,280

9,064,280

23 × 5 × 41 × 5527
Abundant Even Composite

9,064,280 factors as 2^3 × 5 × 41 × 5527. Its 32 positive divisors give a proper-divisor sum of 11,831,560, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 41 × 5527
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,895,840
Proper Divisor Sum 11,831,560
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9064241 ← → #9064301

Radix Representation

Decimal 9064280
Binary 100010100100111101011000 (24 bits)
Octal 0o42447530
Hexadecimal 0x8A4F58

Divisor Catalog (32)

1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1,640 5,527 11,054 22,108 27,635 44,216 55,270 110,540 221,080 226,607 453,214 906,428 1,133,035 1,812,856 2,266,070 4,532,140 9,064,280

Collatz Trajectory (212 steps to reach 1)

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

9,064,280 4,532,140 2,266,070 1,133,035 3,399,106 1,699,553 5,098,660 2,549,330 1,274,665 3,823,996 1,911,998 955,999 2,867,998 1,433,999 4,301,998 2,150,999 6,452,998 3,226,499 9,679,498 4,839,749 14,519,248 7,259,624 3,629,812 1,814,906 907,453 2,722,360 1,361,180 680,590 340,295 1,020,886 510,443 1,531,330 765,665 2,296,996 1,148,498 574,249 1,722,748 861,374 430,687 1,292,062 646,031 1,938,094 969,047 2,907,142 1,453,571 4,360,714 2,180,357 6,541,072 3,270,536 1,635,268 817,634 408,817 1,226,452 613,226 306,613 919,840 459,920 229,960 114,980 57,490

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