λ
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Atlas › Integer Profiles › Node 9,102,665

9,102,665

5 × 11 × 13 × 29 × 439
Deficient Odd Composite

9,102,665 factors as 5 × 11 × 13 × 29 × 439. Its 32 positive divisors give a proper-divisor sum of 4,202,935, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 5 × 11 × 13 × 29 × 439
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,305,600
Proper Divisor Sum 4,202,935
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9102661 ← → #9102673

Radix Representation

Decimal 9102665
Binary 100010101110010101001001 (24 bits)
Octal 0o42562511
Hexadecimal 0x8AE549

Divisor Catalog (32)

1 5 11 13 29 55 65 143 145 319 377 439 715 1,595 1,885 2,195 4,147 4,829 5,707 12,731 20,735 24,145 28,535 62,777 63,655 140,041 165,503 313,885 700,205 827,515 1,820,533 9,102,665

Collatz Trajectory (217 steps to reach 1)

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

9,102,665 27,307,996 13,653,998 6,826,999 20,480,998 10,240,499 30,721,498 15,360,749 46,082,248 23,041,124 11,520,562 5,760,281 17,280,844 8,640,422 4,320,211 12,960,634 6,480,317 19,440,952 9,720,476 4,860,238 2,430,119 7,290,358 3,645,179 10,935,538 5,467,769 16,403,308 8,201,654 4,100,827 12,302,482 6,151,241 18,453,724 9,226,862 4,613,431 13,840,294 6,920,147 20,760,442 10,380,221 31,140,664 15,570,332 7,785,166 3,892,583 11,677,750 5,838,875 17,516,626 8,758,313 26,274,940 13,137,470 6,568,735 19,706,206 9,853,103 29,559,310 14,779,655 44,338,966 22,169,483 66,508,450 33,254,225 99,762,676 49,881,338 24,940,669 74,822,008

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