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Atlas › Integer Profiles › Node 6,245,824

6,245,824

26 × 13 × 7507
Abundant Even Composite

6,245,824 factors as 2^6 × 13 × 7507. Its 28 positive divisors give a proper-divisor sum of 7,103,400, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 7507
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 13,349,224
Proper Divisor Sum 7,103,400
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6245821 ← → #6245831

Radix Representation

Decimal 6245824
Binary 10111110100110111000000 (23 bits)
Octal 0o27646700
Hexadecimal 0x5F4DC0

Divisor Catalog (28)

1 2 4 8 13 16 26 32 52 64 104 208 416 832 7,507 15,014 30,028 60,056 97,591 120,112 195,182 240,224 390,364 480,448 780,728 1,561,456 3,122,912 6,245,824

Collatz Trajectory (196 steps to reach 1)

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

6,245,824 3,122,912 1,561,456 780,728 390,364 195,182 97,591 292,774 146,387 439,162 219,581 658,744 329,372 164,686 82,343 247,030 123,515 370,546 185,273 555,820 277,910 138,955 416,866 208,433 625,300 312,650 156,325 468,976 234,488 117,244 58,622 29,311 87,934 43,967 131,902 65,951 197,854 98,927 296,782 148,391 445,174 222,587 667,762 333,881 1,001,644 500,822 250,411 751,234 375,617 1,126,852 563,426 281,713 845,140 422,570 211,285 633,856 316,928 158,464 79,232 39,616

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