λ
Harmonic Matrix

9,249,755

5 × 139 × 13309
Deficient Odd Composite

9,249,755 has digital root 5. The neighboring primes are 9249739 and 9249763; its proper-divisor sum differs from the starting integer by -7,319,110.

Prime Factor Structure

Factorization String 5 × 139 × 13309
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,180,400
Proper Divisor Sum 1,930,645
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9249739 ← → #9249763

Radix Representation

Decimal 9249755
Binary 100011010010001111011011 (24 bits)
Octal 0o43221733
Hexadecimal 0x8D23DB

Divisor Catalog (8)

1 5 139 695 13,309 66,545 1,849,951 9,249,755

Collatz Trajectory (194 steps to reach 1)

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

9,249,755 27,749,266 13,874,633 41,623,900 20,811,950 10,405,975 31,217,926 15,608,963 46,826,890 23,413,445 70,240,336 35,120,168 17,560,084 8,780,042 4,390,021 13,170,064 6,585,032 3,292,516 1,646,258 823,129 2,469,388 1,234,694 617,347 1,852,042 926,021 2,778,064 1,389,032 694,516 347,258 173,629 520,888 260,444 130,222 65,111 195,334 97,667 293,002 146,501 439,504 219,752 109,876 54,938 27,469 82,408 41,204 20,602 10,301 30,904 15,452 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630

More profiles

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