λ
Math Directory

7,724,381

7 × 1103483
Deficient Odd Composite

7,724,381 factors as 7 × 1103483. Its 4 positive divisors give a proper-divisor sum of 1,103,491, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 7 × 1103483
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,827,872
Proper Divisor Sum 1,103,491
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7724371 ← → #7724419

Radix Representation

Decimal 7724381
Binary 11101011101110101011101 (23 bits)
Octal 0o35356535
Hexadecimal 0x75DD5D

Divisor Catalog (4)

1 7 1,103,483 7,724,381

Collatz Trajectory (173 steps to reach 1)

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

7,724,381 23,173,144 11,586,572 5,793,286 2,896,643 8,689,930 4,344,965 13,034,896 6,517,448 3,258,724 1,629,362 814,681 2,444,044 1,222,022 611,011 1,833,034 916,517 2,749,552 1,374,776 687,388 343,694 171,847 515,542 257,771 773,314 386,657 1,159,972 579,986 289,993 869,980 434,990 217,495 652,486 326,243 978,730 489,365 1,468,096 734,048 367,024 183,512 91,756 45,878 22,939 68,818 34,409 103,228 51,614 25,807 77,422 38,711 116,134 58,067 174,202 87,101 261,304 130,652 65,326 32,663 97,990 48,995

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