9,735,167

13 × 67 × 11177

9,735,167 factors as 13 × 67 × 11177. Its 8 positive divisors give a proper-divisor sum of 906,289, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 13 × 67 × 11177

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,641,456

Proper Divisor Sum 906,289

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9735161 ← → #9735179

Radix Representation

Decimal	9735167
Binary	100101001000101111111111 (24 bits)
Octal	0o45105777
Hexadecimal	0x948BFF

Divisor Catalog (8)

1 13 67 871 11,177 145,301 748,859 9,735,167

Collatz Trajectory (199 steps to reach 1)

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

9,735,167 29,205,502 14,602,751 43,808,254 21,904,127 65,712,382 32,856,191 98,568,574 49,284,287 147,852,862 73,926,431 221,779,294 110,889,647 332,668,942 166,334,471 499,003,414 249,501,707 748,505,122 374,252,561 1,122,757,684 561,378,842 280,689,421 842,068,264 421,034,132 210,517,066 105,258,533 315,775,600 157,887,800 78,943,900 39,471,950 19,735,975 59,207,926 29,603,963 88,811,890 44,405,945 133,217,836 66,608,918 33,304,459 99,913,378 49,956,689 149,870,068 74,935,034 37,467,517 112,402,552 56,201,276 28,100,638 14,050,319 42,150,958 21,075,479 63,226,438 31,613,219 94,839,658 47,419,829 142,259,488 71,129,744 35,564,872 17,782,436 8,891,218 4,445,609 13,336,828

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