λ
Integer Codex

8,215,015

5 × 1643003
Deficient Odd Composite

For 8,215,015, the 4 positive divisors have a total of 9,858,024. Removing 8,215,015 leaves 1,643,009, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 1643003
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,858,024
Proper Divisor Sum 1,643,009
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8215001 ← → #8215043

Radix Representation

Decimal 8215015
Binary 11111010101100111100111 (23 bits)
Octal 0o37254747
Hexadecimal 0x7D59E7

Divisor Catalog (4)

1 5 1,643,003 8,215,015

Collatz Trajectory (243 steps to reach 1)

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

8,215,015 24,645,046 12,322,523 36,967,570 18,483,785 55,451,356 27,725,678 13,862,839 41,588,518 20,794,259 62,382,778 31,191,389 93,574,168 46,787,084 23,393,542 11,696,771 35,090,314 17,545,157 52,635,472 26,317,736 13,158,868 6,579,434 3,289,717 9,869,152 4,934,576 2,467,288 1,233,644 616,822 308,411 925,234 462,617 1,387,852 693,926 346,963 1,040,890 520,445 1,561,336 780,668 390,334 195,167 585,502 292,751 878,254 439,127 1,317,382 658,691 1,976,074 988,037 2,964,112 1,482,056 741,028 370,514 185,257 555,772 277,886 138,943 416,830 208,415 625,246 312,623

More profiles

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