λ
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9,604,875

3 × 53 × 7 × 3659
Deficient Odd Composite

9,604,875 factors as 3 × 5^3 × 7 × 3659. Its 32 positive divisors give a proper-divisor sum of 8,665,845, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 3 × 5^3 × 7 × 3659
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,270,720
Proper Divisor Sum 8,665,845
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9604871 ← → #9604891

Radix Representation

Decimal 9604875
Binary 100100101000111100001011 (24 bits)
Octal 0o44507413
Hexadecimal 0x928F0B

Divisor Catalog (32)

1 3 5 7 15 21 25 35 75 105 125 175 375 525 875 2,625 3,659 10,977 18,295 25,613 54,885 76,839 91,475 128,065 274,425 384,195 457,375 640,325 1,372,125 1,920,975 3,201,625 9,604,875

Collatz Trajectory (194 steps to reach 1)

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

9,604,875 28,814,626 14,407,313 43,221,940 21,610,970 10,805,485 32,416,456 16,208,228 8,104,114 4,052,057 12,156,172 6,078,086 3,039,043 9,117,130 4,558,565 13,675,696 6,837,848 3,418,924 1,709,462 854,731 2,564,194 1,282,097 3,846,292 1,923,146 961,573 2,884,720 1,442,360 721,180 360,590 180,295 540,886 270,443 811,330 405,665 1,216,996 608,498 304,249 912,748 456,374 228,187 684,562 342,281 1,026,844 513,422 256,711 770,134 385,067 1,155,202 577,601 1,732,804 866,402 433,201 1,299,604 649,802 324,901 974,704 487,352 243,676 121,838 60,919

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