λ
Integer Codex

2,871,135

32 × 5 × 63803
Deficient Odd Composite

For 2,871,135, the 12 positive divisors have a total of 4,976,712. Removing 2,871,135 leaves 2,105,577, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5 × 63803
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,976,712
Proper Divisor Sum 2,105,577
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2871133 ← → #2871137

Radix Representation

Decimal 2871135
Binary 1010111100111101011111 (22 bits)
Octal 0o12747537
Hexadecimal 0x2BCF5F

Divisor Catalog (12)

1 3 5 9 15 45 63,803 191,409 319,015 574,227 957,045 2,871,135

Collatz Trajectory (213 steps to reach 1)

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

2,871,135 8,613,406 4,306,703 12,920,110 6,460,055 19,380,166 9,690,083 29,070,250 14,535,125 43,605,376 21,802,688 10,901,344 5,450,672 2,725,336 1,362,668 681,334 340,667 1,022,002 511,001 1,533,004 766,502 383,251 1,149,754 574,877 1,724,632 862,316 431,158 215,579 646,738 323,369 970,108 485,054 242,527 727,582 363,791 1,091,374 545,687 1,637,062 818,531 2,455,594 1,227,797 3,683,392 1,841,696 920,848 460,424 230,212 115,106 57,553 172,660 86,330 43,165 129,496 64,748 32,374 16,187 48,562 24,281 72,844 36,422 18,211

More profiles

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