λ
Prime Ledger

2,726,386

2 × 13 × 19 × 5519
Deficient Even Composite

2,726,386 has the prime decomposition 2 × 13 × 19 × 5519. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 19 × 5519
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,636,800
Proper Divisor Sum 1,910,414
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2726363 ← → #2726387

Radix Representation

Decimal 2726386
Binary 1010011001100111110010 (22 bits)
Octal 0o12314762
Hexadecimal 0x2999F2

Divisor Catalog (16)

1 2 13 19 26 38 247 494 5,519 11,038 71,747 104,861 143,494 209,722 1,363,193 2,726,386

Collatz Trajectory (94 steps to reach 1)

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

2,726,386 1,363,193 4,089,580 2,044,790 1,022,395 3,067,186 1,533,593 4,600,780 2,300,390 1,150,195 3,450,586 1,725,293 5,175,880 2,587,940 1,293,970 646,985 1,940,956 970,478 485,239 1,455,718 727,859 2,183,578 1,091,789 3,275,368 1,637,684 818,842 409,421 1,228,264 614,132 307,066 153,533 460,600 230,300 115,150 57,575 172,726 86,363 259,090 129,545 388,636 194,318 97,159 291,478 145,739 437,218 218,609 655,828 327,914 163,957 491,872 245,936 122,968 61,484 30,742 15,371 46,114 23,057 69,172 34,586 17,293

More profiles

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