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Atlas › Integer Profiles › Node 6,399,472

6,399,472

24 × 73 × 5479
Deficient Even Composite

6,399,472 factors as 2^4 × 73 × 5479. Its 20 positive divisors give a proper-divisor sum of 6,171,648, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^4 × 73 × 5479
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 12,571,120
Proper Divisor Sum 6,171,648
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6399467 ← → #6399509

Radix Representation

Decimal 6399472
Binary 11000011010010111110000 (23 bits)
Octal 0o30322760
Hexadecimal 0x61A5F0

Divisor Catalog (20)

1 2 4 8 16 73 146 292 584 1,168 5,479 10,958 21,916 43,832 87,664 399,967 799,934 1,599,868 3,199,736 6,399,472

Collatz Trajectory (209 steps to reach 1)

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

6,399,472 3,199,736 1,599,868 799,934 399,967 1,199,902 599,951 1,799,854 899,927 2,699,782 1,349,891 4,049,674 2,024,837 6,074,512 3,037,256 1,518,628 759,314 379,657 1,138,972 569,486 284,743 854,230 427,115 1,281,346 640,673 1,922,020 961,010 480,505 1,441,516 720,758 360,379 1,081,138 540,569 1,621,708 810,854 405,427 1,216,282 608,141 1,824,424 912,212 456,106 228,053 684,160 342,080 171,040 85,520 42,760 21,380 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767

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