λ
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Atlas › Integer Profiles › Node 9,108,300

9,108,300

22 × 3 × 52 × 97 × 313
Abundant Even Composite

9,108,300 factors as 2^2 × 3 × 5^2 × 97 × 313. Its 72 positive divisors give a proper-divisor sum of 17,601,796, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 97 × 313
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 26,710,096
Proper Divisor Sum 17,601,796
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #9108293 ← → #9108331

Radix Representation

Decimal 9108300
Binary 100010101111101101001100 (24 bits)
Octal 0o42575514
Hexadecimal 0x8AFB4C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 313 388 485 582 626 939 970 1,164 1,252 1,455 1,565 1,878 1,940 2,425 2,910 3,130 3,756 4,695 4,850 5,820 6,260 7,275 7,825 9,390 9,700 14,550 15,650 18,780 23,475 29,100 30,361 31,300 46,950 60,722 91,083 93,900 121,444 151,805 182,166

Collatz Trajectory (150 steps to reach 1)

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

9,108,300 4,554,150 2,277,075 6,831,226 3,415,613 10,246,840 5,123,420 2,561,710 1,280,855 3,842,566 1,921,283 5,763,850 2,881,925 8,645,776 4,322,888 2,161,444 1,080,722 540,361 1,621,084 810,542 405,271 1,215,814 607,907 1,823,722 911,861 2,735,584 1,367,792 683,896 341,948 170,974 85,487 256,462 128,231 384,694 192,347 577,042 288,521 865,564 432,782 216,391 649,174 324,587 973,762 486,881 1,460,644 730,322 365,161 1,095,484 547,742 273,871 821,614 410,807 1,232,422 616,211 1,848,634 924,317 2,772,952 1,386,476 693,238 346,619

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