λ
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9,508,835

5 × 7 × 19 × 79 × 181
Deficient Odd Composite

9,508,835 factors as 5 × 7 × 19 × 79 × 181. Its 32 positive divisors give a proper-divisor sum of 4,468,765, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 5 × 7 × 19 × 79 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,977,600
Proper Divisor Sum 4,468,765
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9508823 ← → #9508859

Radix Representation

Decimal 9508835
Binary 100100010001011111100011 (24 bits)
Octal 0o44213743
Hexadecimal 0x9117E3

Divisor Catalog (32)

1 5 7 19 35 79 95 133 181 395 553 665 905 1,267 1,501 2,765 3,439 6,335 7,505 10,507 14,299 17,195 24,073 52,535 71,495 100,093 120,365 271,681 500,465 1,358,405 1,901,767 9,508,835

Collatz Trajectory (176 steps to reach 1)

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

9,508,835 28,526,506 14,263,253 42,789,760 21,394,880 10,697,440 5,348,720 2,674,360 1,337,180 668,590 334,295 1,002,886 501,443 1,504,330 752,165 2,256,496 1,128,248 564,124 282,062 141,031 423,094 211,547 634,642 317,321 951,964 475,982 237,991 713,974 356,987 1,070,962 535,481 1,606,444 803,222 401,611 1,204,834 602,417 1,807,252 903,626 451,813 1,355,440 677,720 338,860 169,430 84,715 254,146 127,073 381,220 190,610 95,305 285,916 142,958 71,479 214,438 107,219 321,658 160,829 482,488 241,244 120,622 60,311

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