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Atlas › Integer Profiles › Node 4,587,008

4,587,008

29 × 172 × 31
Abundant Even Composite

4,587,008 factors as 2^9 × 17^2 × 31. Its 60 positive divisors give a proper-divisor sum of 5,462,944, so this integer is abundant. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 2^9 × 17^2 × 31
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 10,049,952
Proper Divisor Sum 5,462,944
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4587007 ← → #4587013

Radix Representation

Decimal 4587008
Binary 10001011111111000000000 (23 bits)
Octal 0o21377000
Hexadecimal 0x45FE00

Divisor Catalog (60)

1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 256 272 289 496 512 527 544 578 992 1,054 1,088 1,156 1,984 2,108 2,176 2,312 3,968 4,216 4,352 4,624 7,936 8,432 8,704 8,959 9,248 15,872 16,864 17,918 18,496 33,728 35,836 36,992 67,456 71,672 73,984 134,912 143,344 147,968 269,824 286,688 573,376 1,146,752 2,293,504 4,587,008

Collatz Trajectory (255 steps to reach 1)

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

4,587,008 2,293,504 1,146,752 573,376 286,688 143,344 71,672 35,836 17,918 8,959 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359 136,078 68,039 204,118 102,059 306,178 153,089 459,268 229,634 114,817 344,452 172,226 86,113 258,340 129,170 64,585 193,756 96,878 48,439 145,318 72,659 217,978 108,989 326,968 163,484 81,742 40,871 122,614 61,307 183,922 91,961 275,884 137,942 68,971 206,914 103,457 310,372 155,186 77,593 232,780 116,390 58,195 174,586

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