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Atlas › Integer Profiles › Node 6,263,784

6,263,784

23 × 33 × 47 × 617
Abundant Even Composite

6,263,784 factors as 2^3 × 3^3 × 47 × 617. Its 64 positive divisors give a proper-divisor sum of 11,534,616, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 47 × 617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,798,400
Proper Divisor Sum 11,534,616
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6263783 ← → #6263809

Radix Representation

Decimal 6263784
Binary 10111111001001111101000 (23 bits)
Octal 0o27711750
Hexadecimal 0x5F93E8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 617 846 1,128 1,234 1,269 1,692 1,851 2,468 2,538 3,384 3,702 4,936 5,076 5,553 7,404 10,152 11,106 14,808 16,659 22,212 28,999 33,318 44,424 57,998 66,636 86,997 115,996 133,272 173,994 231,992 260,991 347,988 521,982 695,976 782,973 1,043,964

Collatz Trajectory (178 steps to reach 1)

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

6,263,784 3,131,892 1,565,946 782,973 2,348,920 1,174,460 587,230 293,615 880,846 440,423 1,321,270 660,635 1,981,906 990,953 2,972,860 1,486,430 743,215 2,229,646 1,114,823 3,344,470 1,672,235 5,016,706 2,508,353 7,525,060 3,762,530 1,881,265 5,643,796 2,821,898 1,410,949 4,232,848 2,116,424 1,058,212 529,106 264,553 793,660 396,830 198,415 595,246 297,623 892,870 446,435 1,339,306 669,653 2,008,960 1,004,480 502,240 251,120 125,560 62,780 31,390 15,695 47,086 23,543 70,630 35,315 105,946 52,973 158,920 79,460 39,730

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