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Atlas › Integer Profiles › Node 6,348,576

6,348,576

25 × 3 × 13 × 5087
Abundant Even Composite

6,348,576 factors as 2^5 × 3 × 13 × 5087. Its 48 positive divisors give a proper-divisor sum of 11,601,888, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 5087
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,950,464
Proper Divisor Sum 11,601,888
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6348569 ← → #6348623

Radix Representation

Decimal 6348576
Binary 11000001101111100100000 (23 bits)
Octal 0o30157440
Hexadecimal 0x60DF20

Divisor Catalog (48)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1,248 5,087 10,174 15,261 20,348 30,522 40,696 61,044 66,131 81,392 122,088 132,262 162,784 198,393 244,176 264,524 396,786 488,352 529,048 793,572 1,058,096 1,587,144 2,116,192 3,174,288 6,348,576

Collatz Trajectory (196 steps to reach 1)

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

6,348,576 3,174,288 1,587,144 793,572 396,786 198,393 595,180 297,590 148,795 446,386 223,193 669,580 334,790 167,395 502,186 251,093 753,280 376,640 188,320 94,160 47,080 23,540 11,770 5,885 17,656 8,828 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715

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