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Atlas › Integer Profiles › Node 8,967,784

8,967,784

23 × 72 × 22877
Abundant Even Composite

8,967,784 factors as 2^3 × 7^2 × 22877. Its 24 positive divisors give a proper-divisor sum of 10,592,906, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 22877
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,560,690
Proper Divisor Sum 10,592,906
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #8967767 ← → #8967799

Radix Representation

Decimal 8967784
Binary 100010001101011001101000 (24 bits)
Octal 0o42153150
Hexadecimal 0x88D668

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 392 22,877 45,754 91,508 160,139 183,016 320,278 640,556 1,120,973 1,281,112 2,241,946 4,483,892 8,967,784

Collatz Trajectory (88 steps to reach 1)

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

8,967,784 4,483,892 2,241,946 1,120,973 3,362,920 1,681,460 840,730 420,365 1,261,096 630,548 315,274 157,637 472,912 236,456 118,228 59,114 29,557 88,672 44,336 22,168 11,084 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268

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