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Atlas › Integer Profiles › Node 9,035,010

9,035,010

2 × 33 × 5 × 109 × 307
Abundant Even Composite

9,035,010 factors as 2 × 3^3 × 5 × 109 × 307. Its 64 positive divisors give a proper-divisor sum of 15,358,590, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 109 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 24,393,600
Proper Divisor Sum 15,358,590
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #9035009 ← → #9035027

Radix Representation

Decimal 9035010
Binary 100010011101110100000010 (24 bits)
Octal 0o42356402
Hexadecimal 0x89DD02

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 109 135 218 270 307 327 545 614 654 921 981 1,090 1,535 1,635 1,842 1,962 2,763 2,943 3,070 3,270 4,605 4,905 5,526 5,886 8,289 9,210 9,810 13,815 14,715 16,578 27,630 29,430 33,463 41,445 66,926 82,890 100,389 167,315 200,778 301,167 334,630 501,945 602,334 903,501 1,003,890 1,505,835

Collatz Trajectory (119 steps to reach 1)

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

9,035,010 4,517,505 13,552,516 6,776,258 3,388,129 10,164,388 5,082,194 2,541,097 7,623,292 3,811,646 1,905,823 5,717,470 2,858,735 8,576,206 4,288,103 12,864,310 6,432,155 19,296,466 9,648,233 28,944,700 14,472,350 7,236,175 21,708,526 10,854,263 32,562,790 16,281,395 48,844,186 24,422,093 73,266,280 36,633,140 18,316,570 9,158,285 27,474,856 13,737,428 6,868,714 3,434,357 10,303,072 5,151,536 2,575,768 1,287,884 643,942 321,971 965,914 482,957 1,448,872 724,436 362,218 181,109 543,328 271,664 135,832 67,916 33,958 16,979 50,938 25,469 76,408 38,204 19,102 9,551

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