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Atlas › Integer Profiles › Node 6,441,920

6,441,920

26 × 5 × 41 × 491
Abundant Even Composite

6,441,920 factors as 2^6 × 5 × 41 × 491. Its 56 positive divisors give a proper-divisor sum of 9,304,048, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 41 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 15,745,968
Proper Divisor Sum 9,304,048
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6441917 ← → #6441949

Radix Representation

Decimal 6441920
Binary 11000100100101111000000 (23 bits)
Octal 0o30445700
Hexadecimal 0x624BC0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 491 656 820 982 1,312 1,640 1,964 2,455 2,624 3,280 3,928 4,910 6,560 7,856 9,820 13,120 15,712 19,640 20,131 31,424 39,280 40,262 78,560 80,524 100,655 157,120 161,048 201,310 322,096 402,620 644,192 805,240 1,288,384 1,610,480 3,220,960 6,441,920

Collatz Trajectory (165 steps to reach 1)

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

6,441,920 3,220,960 1,610,480 805,240 402,620 201,310 100,655 301,966 150,983 452,950 226,475 679,426 339,713 1,019,140 509,570 254,785 764,356 382,178 191,089 573,268 286,634 143,317 429,952 214,976 107,488 53,744 26,872 13,436 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190

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