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Atlas › Integer Profiles › Node 6,000,592

6,000,592

24 × 13 × 17 × 1697
Abundant Even Composite

6,000,592 factors as 2^4 × 13 × 17 × 1697. Its 40 positive divisors give a proper-divisor sum of 7,264,184, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 17 × 1697
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,264,776
Proper Divisor Sum 7,264,184
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6000581 ← → #6000611

Radix Representation

Decimal 6000592
Binary 10110111000111111010000 (23 bits)
Octal 0o26707720
Hexadecimal 0x5B8FD0

Divisor Catalog (40)

1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1,697 1,768 3,394 3,536 6,788 13,576 22,061 27,152 28,849 44,122 57,698 88,244 115,396 176,488 230,792 352,976 375,037 461,584 750,074 1,500,148 3,000,296 6,000,592

Collatz Trajectory (139 steps to reach 1)

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

6,000,592 3,000,296 1,500,148 750,074 375,037 1,125,112 562,556 281,278 140,639 421,918 210,959 632,878 316,439 949,318 474,659 1,423,978 711,989 2,135,968 1,067,984 533,992 266,996 133,498 66,749 200,248 100,124 50,062 25,031 75,094 37,547 112,642 56,321 168,964 84,482 42,241 126,724 63,362 31,681 95,044 47,522 23,761 71,284 35,642 17,821 53,464 26,732 13,366 6,683 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069

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