λ
Harmonic Matrix

9,754,611

3 × 97 × 33521
Deficient Odd Composite

9,754,611 has digital root 6. The neighboring primes are 9754609 and 9754621; its proper-divisor sum differs from the starting integer by -6,368,598.

Prime Factor Structure

Factorization String 3 × 97 × 33521
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,140,624
Proper Divisor Sum 3,386,013
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9754609 ← → #9754621

Radix Representation

Decimal 9754611
Binary 100101001101011111110011 (24 bits)
Octal 0o45153763
Hexadecimal 0x94D7F3

Divisor Catalog (8)

1 3 97 291 33,521 100,563 3,251,537 9,754,611

Collatz Trajectory (176 steps to reach 1)

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

9,754,611 29,263,834 14,631,917 43,895,752 21,947,876 10,973,938 5,486,969 16,460,908 8,230,454 4,115,227 12,345,682 6,172,841 18,518,524 9,259,262 4,629,631 13,888,894 6,944,447 20,833,342 10,416,671 31,250,014 15,625,007 46,875,022 23,437,511 70,312,534 35,156,267 105,468,802 52,734,401 158,203,204 79,101,602 39,550,801 118,652,404 59,326,202 29,663,101 88,989,304 44,494,652 22,247,326 11,123,663 33,370,990 16,685,495 50,056,486 25,028,243 75,084,730 37,542,365 112,627,096 56,313,548 28,156,774 14,078,387 42,235,162 21,117,581 63,352,744 31,676,372 15,838,186 7,919,093 23,757,280 11,878,640 5,939,320 2,969,660 1,484,830 742,415 2,227,246

More profiles

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