λ
Integer Codex

8,710,691

11 × 349 × 2269
Deficient Odd Composite

For 8,710,691, the 8 positive divisors have a total of 9,534,000. Removing 8,710,691 leaves 823,309, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 349 × 2269
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,534,000
Proper Divisor Sum 823,309
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8710687 ← → #8710693

Radix Representation

Decimal 8710691
Binary 100001001110101000100011 (24 bits)
Octal 0o41165043
Hexadecimal 0x84EA23

Divisor Catalog (8)

1 11 349 2,269 3,839 24,959 791,881 8,710,691

Collatz Trajectory (124 steps to reach 1)

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

8,710,691 26,132,074 13,066,037 39,198,112 19,599,056 9,799,528 4,899,764 2,449,882 1,224,941 3,674,824 1,837,412 918,706 459,353 1,378,060 689,030 344,515 1,033,546 516,773 1,550,320 775,160 387,580 193,790 96,895 290,686 145,343 436,030 218,015 654,046 327,023 981,070 490,535 1,471,606 735,803 2,207,410 1,103,705 3,311,116 1,655,558 827,779 2,483,338 1,241,669 3,725,008 1,862,504 931,252 465,626 232,813 698,440 349,220 174,610 87,305 261,916 130,958 65,479 196,438 98,219 294,658 147,329 441,988 220,994 110,497 331,492

More profiles

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