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8,972,070

2 × 3 × 5 × 23 × 13003
Abundant Even Composite

8,972,070 factors as 2 × 3 × 5 × 23 × 13003. Its 32 positive divisors give a proper-divisor sum of 13,498,842, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 23 × 13003
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,470,912
Proper Divisor Sum 13,498,842
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8972069 ← → #8972081

Radix Representation

Decimal 8972070
Binary 100010001110011100100110 (24 bits)
Octal 0o42163446
Hexadecimal 0x88E726

Divisor Catalog (32)

1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 13,003 26,006 39,009 65,015 78,018 130,030 195,045 299,069 390,090 598,138 897,207 1,495,345 1,794,414 2,990,690 4,486,035 8,972,070

Collatz Trajectory (212 steps to reach 1)

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

8,972,070 4,486,035 13,458,106 6,729,053 20,187,160 10,093,580 5,046,790 2,523,395 7,570,186 3,785,093 11,355,280 5,677,640 2,838,820 1,419,410 709,705 2,129,116 1,064,558 532,279 1,596,838 798,419 2,395,258 1,197,629 3,592,888 1,796,444 898,222 449,111 1,347,334 673,667 2,021,002 1,010,501 3,031,504 1,515,752 757,876 378,938 189,469 568,408 284,204 142,102 71,051 213,154 106,577 319,732 159,866 79,933 239,800 119,900 59,950 29,975 89,926 44,963 134,890 67,445 202,336 101,168 50,584 25,292 12,646 6,323 18,970 9,485

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