λ
Harmonic Matrix

9,751,725

33 × 52 × 14447
Deficient Odd Composite

9,751,725 has digital root 9. The neighboring primes are 9751699 and 9751739; its proper-divisor sum differs from the starting integer by -1,587,930.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 14447
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,915,520
Proper Divisor Sum 8,163,795
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9751699 ← → #9751739

Radix Representation

Decimal 9751725
Binary 100101001100110010101101 (24 bits)
Octal 0o45146255
Hexadecimal 0x94CCAD

Divisor Catalog (24)

1 3 5 9 15 25 27 45 75 135 225 675 14,447 43,341 72,235 130,023 216,705 361,175 390,069 650,115 1,083,525 1,950,345 3,250,575 9,751,725

Collatz Trajectory (207 steps to reach 1)

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

9,751,725 29,255,176 14,627,588 7,313,794 3,656,897 10,970,692 5,485,346 2,742,673 8,228,020 4,114,010 2,057,005 6,171,016 3,085,508 1,542,754 771,377 2,314,132 1,157,066 578,533 1,735,600 867,800 433,900 216,950 108,475 325,426 162,713 488,140 244,070 122,035 366,106 183,053 549,160 274,580 137,290 68,645 205,936 102,968 51,484 25,742 12,871 38,614 19,307 57,922 28,961 86,884 43,442 21,721 65,164 32,582 16,291 48,874 24,437 73,312 36,656 18,328 9,164 4,582 2,291 6,874 3,437 10,312

More profiles

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