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Atlas › Integer Profiles › Node 8,609,024

8,609,024

28 × 33629
Deficient Even Composite

8,609,024 factors as 2^8 × 33629. Its 18 positive divisors give a proper-divisor sum of 8,575,906, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^8 × 33629
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 17,184,930
Proper Divisor Sum 8,575,906
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8609023 ← → #8609063

Radix Representation

Decimal 8609024
Binary 100000110101110100000000 (24 bits)
Octal 0o40656400
Hexadecimal 0x835D00

Divisor Catalog (18)

1 2 4 8 16 32 64 128 256 33,629 67,258 134,516 269,032 538,064 1,076,128 2,152,256 4,304,512 8,609,024

Collatz Trajectory (75 steps to reach 1)

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

8,609,024 4,304,512 2,152,256 1,076,128 538,064 269,032 134,516 67,258 33,629 100,888 50,444 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44

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