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Atlas › Integer Profiles › Node 9,109,925

9,109,925

52 × 11 × 157 × 211
Deficient Odd Composite

9,109,925 factors as 5^2 × 11 × 157 × 211. Its 24 positive divisors give a proper-divisor sum of 3,350,587, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 5^2 × 11 × 157 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,460,512
Proper Divisor Sum 3,350,587
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9109883 ← → #9109927

Radix Representation

Decimal 9109925
Binary 100010110000000110100101 (24 bits)
Octal 0o42600645
Hexadecimal 0x8B01A5

Divisor Catalog (24)

1 5 11 25 55 157 211 275 785 1,055 1,727 2,321 3,925 5,275 8,635 11,605 33,127 43,175 58,025 165,635 364,397 828,175 1,821,985 9,109,925

Collatz Trajectory (132 steps to reach 1)

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

9,109,925 27,329,776 13,664,888 6,832,444 3,416,222 1,708,111 5,124,334 2,562,167 7,686,502 3,843,251 11,529,754 5,764,877 17,294,632 8,647,316 4,323,658 2,161,829 6,485,488 3,242,744 1,621,372 810,686 405,343 1,216,030 608,015 1,824,046 912,023 2,736,070 1,368,035 4,104,106 2,052,053 6,156,160 3,078,080 1,539,040 769,520 384,760 192,380 96,190 48,095 144,286 72,143 216,430 108,215 324,646 162,323 486,970 243,485 730,456 365,228 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562 57,781

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