λ
Ratio Atlas

5,028,165

32 × 5 × 29 × 3853
Deficient Odd Composite

5,028,165 factors as 3^2 × 5 × 29 × 3853. Its 24 positive divisors give a proper-divisor sum of 3,990,195, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 29 × 3853
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,018,360
Proper Divisor Sum 3,990,195
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5028131 ← → #5028181

Radix Representation

Decimal 5028165
Binary 10011001011100101000101 (23 bits)
Octal 0o23134505
Hexadecimal 0x4CB945

Divisor Catalog (24)

1 3 5 9 15 29 45 87 145 261 435 1,305 3,853 11,559 19,265 34,677 57,795 111,737 173,385 335,211 558,685 1,005,633 1,676,055 5,028,165

Collatz Trajectory (113 steps to reach 1)

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

5,028,165 15,084,496 7,542,248 3,771,124 1,885,562 942,781 2,828,344 1,414,172 707,086 353,543 1,060,630 530,315 1,590,946 795,473 2,386,420 1,193,210 596,605 1,789,816 894,908 447,454 223,727 671,182 335,591 1,006,774 503,387 1,510,162 755,081 2,265,244 1,132,622 566,311 1,698,934 849,467 2,548,402 1,274,201 3,822,604 1,911,302 955,651 2,866,954 1,433,477 4,300,432 2,150,216 1,075,108 537,554 268,777 806,332 403,166 201,583 604,750 302,375 907,126 453,563 1,360,690 680,345 2,041,036 1,020,518 510,259 1,530,778 765,389 2,296,168 1,148,084

More profiles

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