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Atlas › Integer Profiles › Node 4,386,088

4,386,088

23 × 72 × 67 × 167
Abundant Even Composite

4,386,088 factors as 2^3 × 7^2 × 67 × 167. Its 48 positive divisors give a proper-divisor sum of 5,381,432, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 67 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,767,520
Proper Divisor Sum 5,381,432
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4386073 ← → #4386089

Radix Representation

Decimal 4386088
Binary 10000101110110100101000 (23 bits)
Octal 0o20566450
Hexadecimal 0x42ED28

Divisor Catalog (48)

1 2 4 7 8 14 28 49 56 67 98 134 167 196 268 334 392 469 536 668 938 1,169 1,336 1,876 2,338 3,283 3,752 4,676 6,566 8,183 9,352 11,189 13,132 16,366 22,378 26,264 32,732 44,756 65,464 78,323 89,512 156,646 313,292 548,261 626,584 1,096,522 2,193,044 4,386,088

Collatz Trajectory (61 steps to reach 1)

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

4,386,088 2,193,044 1,096,522 548,261 1,644,784 822,392 411,196 205,598 102,799 308,398 154,199 462,598 231,299 693,898 346,949 1,040,848 520,424 260,212 130,106 65,053 195,160 97,580 48,790 24,395 73,186 36,593 109,780 54,890 27,445 82,336 41,168 20,584 10,292 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4

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