λ
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Atlas › Integer Profiles › Node 9,603,576

9,603,576

23 × 33 × 173 × 257
Abundant Even Composite

9,603,576 factors as 2^3 × 3^3 × 173 × 257. Its 64 positive divisors give a proper-divisor sum of 17,331,624, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 173 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 26,935,200
Proper Divisor Sum 17,331,624
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9603551 ← → #9603599

Radix Representation

Decimal 9603576
Binary 100100101000100111111000 (24 bits)
Octal 0o44504770
Hexadecimal 0x9289F8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 173 216 257 346 514 519 692 771 1,028 1,038 1,384 1,542 1,557 2,056 2,076 2,313 3,084 3,114 4,152 4,626 4,671 6,168 6,228 6,939 9,252 9,342 12,456 13,878 18,504 18,684 27,756 37,368 44,461 55,512 88,922 133,383 177,844 266,766 355,688 400,149 533,532 800,298 1,067,064 1,200,447 1,600,596

Collatz Trajectory (150 steps to reach 1)

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

9,603,576 4,801,788 2,400,894 1,200,447 3,601,342 1,800,671 5,402,014 2,701,007 8,103,022 4,051,511 12,154,534 6,077,267 18,231,802 9,115,901 27,347,704 13,673,852 6,836,926 3,418,463 10,255,390 5,127,695 15,383,086 7,691,543 23,074,630 11,537,315 34,611,946 17,305,973 51,917,920 25,958,960 12,979,480 6,489,740 3,244,870 1,622,435 4,867,306 2,433,653 7,300,960 3,650,480 1,825,240 912,620 456,310 228,155 684,466 342,233 1,026,700 513,350 256,675 770,026 385,013 1,155,040 577,520 288,760 144,380 72,190 36,095 108,286 54,143 162,430 81,215 243,646 121,823 365,470

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