λ
Harmonic Matrix

9,240,991

9240991
Deficient Odd Prime

9,240,991 has digital root 7. The neighboring primes are 9240989 and 9241021; its proper-divisor sum differs from the starting integer by -9,240,990.

Prime Factor Structure

Factorization String 9240991
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,240,992
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9240989 ← → #9241021

Radix Representation

Decimal 9240991
Binary 100011010000000110011111 (24 bits)
Octal 0o43200637
Hexadecimal 0x8D019F

Divisor Catalog (2)

Collatz Trajectory (106 steps to reach 1)

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

9,240,991 27,722,974 13,861,487 41,584,462 20,792,231 62,376,694 31,188,347 93,565,042 46,782,521 140,347,564 70,173,782 35,086,891 105,260,674 52,630,337 157,891,012 78,945,506 39,472,753 118,418,260 59,209,130 29,604,565 88,813,696 44,406,848 22,203,424 11,101,712 5,550,856 2,775,428 1,387,714 693,857 2,081,572 1,040,786 520,393 1,561,180 780,590 390,295 1,170,886 585,443 1,756,330 878,165 2,634,496 1,317,248 658,624 329,312 164,656 82,328 41,164 20,582 10,291 30,874 15,437 46,312 23,156 11,578 5,789 17,368 8,684 4,342 2,171 6,514 3,257 9,772

More profiles

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