λ
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Atlas › Integer Profiles › Node 9,529,191

9,529,191

33 × 7 × 127 × 397
Deficient Odd Composite

9,529,191 factors as 3^3 × 7 × 127 × 397. Its 32 positive divisors give a proper-divisor sum of 6,772,889, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 127 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,302,080
Proper Divisor Sum 6,772,889
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9529189 ← → #9529193

Radix Representation

Decimal 9529191
Binary 100100010110011101100111 (24 bits)
Octal 0o44263547
Hexadecimal 0x916767

Divisor Catalog (32)

1 3 7 9 21 27 63 127 189 381 397 889 1,143 1,191 2,667 2,779 3,429 3,573 8,001 8,337 10,719 24,003 25,011 50,419 75,033 151,257 352,933 453,771 1,058,799 1,361,313 3,176,397 9,529,191

Collatz Trajectory (181 steps to reach 1)

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

9,529,191 28,587,574 14,293,787 42,881,362 21,440,681 64,322,044 32,161,022 16,080,511 48,241,534 24,120,767 72,362,302 36,181,151 108,543,454 54,271,727 162,815,182 81,407,591 244,222,774 122,111,387 366,334,162 183,167,081 549,501,244 274,750,622 137,375,311 412,125,934 206,062,967 618,188,902 309,094,451 927,283,354 463,641,677 1,390,925,032 695,462,516 347,731,258 173,865,629 521,596,888 260,798,444 130,399,222 65,199,611 195,598,834 97,799,417 293,398,252 146,699,126 73,349,563 220,048,690 110,024,345 330,073,036 165,036,518 82,518,259 247,554,778 123,777,389 371,332,168 185,666,084 92,833,042 46,416,521 139,249,564 69,624,782 34,812,391 104,437,174 52,218,587 156,655,762 78,327,881

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