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Atlas › Integer Profiles › Node 8,996,672

8,996,672

26 × 17 × 8269
Abundant Even Composite

8,996,672 factors as 2^6 × 17 × 8269. Its 28 positive divisors give a proper-divisor sum of 9,908,548, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^6 × 17 × 8269
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 18,905,220
Proper Divisor Sum 9,908,548
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #8996651 ← → #8996681

Radix Representation

Decimal 8996672
Binary 100010010100011101000000 (24 bits)
Octal 0o42243500
Hexadecimal 0x894740

Divisor Catalog (28)

1 2 4 8 16 17 32 34 64 68 136 272 544 1,088 8,269 16,538 33,076 66,152 132,304 140,573 264,608 281,146 529,216 562,292 1,124,584 2,249,168 4,498,336 8,996,672

Collatz Trajectory (137 steps to reach 1)

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

8,996,672 4,498,336 2,249,168 1,124,584 562,292 281,146 140,573 421,720 210,860 105,430 52,715 158,146 79,073 237,220 118,610 59,305 177,916 88,958 44,479 133,438 66,719 200,158 100,079 300,238 150,119 450,358 225,179 675,538 337,769 1,013,308 506,654 253,327 759,982 379,991 1,139,974 569,987 1,709,962 854,981 2,564,944 1,282,472 641,236 320,618 160,309 480,928 240,464 120,232 60,116 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586

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