λ
Integer Codex

8,053,009

8053009
Deficient Odd Prime

For 8,053,009, the 2 positive divisors have a total of 8,053,010. Removing 8,053,009 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8053009
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,053,010
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8053007 ← → #8053021

Radix Representation

Decimal 8053009
Binary 11110101110000100010001 (23 bits)
Octal 0o36560421
Hexadecimal 0x7AE111

Divisor Catalog (2)

Collatz Trajectory (186 steps to reach 1)

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

8,053,009 24,159,028 12,079,514 6,039,757 18,119,272 9,059,636 4,529,818 2,264,909 6,794,728 3,397,364 1,698,682 849,341 2,548,024 1,274,012 637,006 318,503 955,510 477,755 1,433,266 716,633 2,149,900 1,074,950 537,475 1,612,426 806,213 2,418,640 1,209,320 604,660 302,330 151,165 453,496 226,748 113,374 56,687 170,062 85,031 255,094 127,547 382,642 191,321 573,964 286,982 143,491 430,474 215,237 645,712 322,856 161,428 80,714 40,357 121,072 60,536 30,268 15,134 7,567 22,702 11,351 34,054 17,027 51,082

More profiles

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