λ
Sigma Notebook

5,854,240

25 × 5 × 7 × 5227
Abundant Even Composite

5,854,240 is even and not a perfect square. Its factorization is 2^5 × 5 × 7 × 5227 and its 48 divisors sum to 15,809,472.

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 5227
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,809,472
Proper Divisor Sum 9,955,232
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5854207 ← → #5854243

Radix Representation

Decimal 5854240
Binary 10110010101010000100000 (23 bits)
Octal 0o26252040
Hexadecimal 0x595420

Divisor Catalog (48)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1,120 5,227 10,454 20,908 26,135 36,589 41,816 52,270 73,178 83,632 104,540 146,356 167,264 182,945 209,080 292,712 365,890 418,160 585,424 731,780 836,320 1,170,848 1,463,560 2,927,120 5,854,240

Collatz Trajectory (126 steps to reach 1)

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

5,854,240 2,927,120 1,463,560 731,780 365,890 182,945 548,836 274,418 137,209 411,628 205,814 102,907 308,722 154,361 463,084 231,542 115,771 347,314 173,657 520,972 260,486 130,243 390,730 195,365 586,096 293,048 146,524 73,262 36,631 109,894 54,947 164,842 82,421 247,264 123,632 61,816 30,908 15,454 7,727 23,182 11,591 34,774 17,387 52,162 26,081 78,244 39,122 19,561 58,684 29,342 14,671 44,014 22,007 66,022 33,011 99,034 49,517 148,552 74,276 37,138

More profiles

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