λ
Integer Codex

6,128,765

5 × 821 × 1493
Deficient Odd Composite

For 6,128,765, the 8 positive divisors have a total of 7,368,408. Removing 6,128,765 leaves 1,239,643, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 821 × 1493
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,368,408
Proper Divisor Sum 1,239,643
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6128737 ← → #6128767

Radix Representation

Decimal 6128765
Binary 10111011000010001111101 (23 bits)
Octal 0o27302175
Hexadecimal 0x5D847D

Divisor Catalog (8)

1 5 821 1,493 4,105 7,465 1,225,753 6,128,765

Collatz Trajectory (165 steps to reach 1)

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

6,128,765 18,386,296 9,193,148 4,596,574 2,298,287 6,894,862 3,447,431 10,342,294 5,171,147 15,513,442 7,756,721 23,270,164 11,635,082 5,817,541 17,452,624 8,726,312 4,363,156 2,181,578 1,090,789 3,272,368 1,636,184 818,092 409,046 204,523 613,570 306,785 920,356 460,178 230,089 690,268 345,134 172,567 517,702 258,851 776,554 388,277 1,164,832 582,416 291,208 145,604 72,802 36,401 109,204 54,602 27,301 81,904 40,952 20,476 10,238 5,119 15,358 7,679 23,038 11,519 34,558 17,279 51,838 25,919 77,758 38,879

More profiles

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