2,717,429

11 × 13 × 31 × 613

2,717,429 has digital root 5. The neighboring primes are 2717423 and 2717441; its proper-divisor sum differs from the starting integer by -2,133,994.

Prime Factor Structure

Factorization String 11 × 13 × 31 × 613

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,300,864

Proper Divisor Sum 583,435

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2717423 ← → #2717441

Radix Representation

Decimal	2717429
Binary	1010010111011011110101 (22 bits)
Octal	0o12273365
Hexadecimal	0x2976F5

Divisor Catalog (16)

1 11 13 31 143 341 403 613 4,433 6,743 7,969 19,003 87,659 209,033 247,039 2,717,429

Collatz Trajectory (231 steps to reach 1)

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

2,717,429 8,152,288 4,076,144 2,038,072 1,019,036 509,518 254,759 764,278 382,139 1,146,418 573,209 1,719,628 859,814 429,907 1,289,722 644,861 1,934,584 967,292 483,646 241,823 725,470 362,735 1,088,206 544,103 1,632,310 816,155 2,448,466 1,224,233 3,672,700 1,836,350 918,175 2,754,526 1,377,263 4,131,790 2,065,895 6,197,686 3,098,843 9,296,530 4,648,265 13,944,796 6,972,398 3,486,199 10,458,598 5,229,299 15,687,898 7,843,949 23,531,848 11,765,924 5,882,962 2,941,481 8,824,444 4,412,222 2,206,111 6,618,334 3,309,167 9,927,502 4,963,751 14,891,254 7,445,627 22,336,882

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