2,726,892

2² × 3³ × 7 × 3607

2,726,892 has digital root 9. The neighboring primes are 2726891 and 2726917; its proper-divisor sum differs from the starting integer by 2,628,136.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 3607

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,081,920

Proper Divisor Sum 5,355,028

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2726891 ← → #2726917

Radix Representation

Decimal	2726892
Binary	1010011001101111101100 (22 bits)
Octal	0o12315754
Hexadecimal	0x299BEC

Divisor Catalog (48)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 3,607 7,214 10,821 14,428 21,642 25,249 32,463 43,284 50,498 64,926 75,747 97,389 100,996 129,852 151,494 194,778 227,241 302,988 389,556 454,482 681,723 908,964 1,363,446 2,726,892

Collatz Trajectory (231 steps to reach 1)

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

2,726,892 1,363,446 681,723 2,045,170 1,022,585 3,067,756 1,533,878 766,939 2,300,818 1,150,409 3,451,228 1,725,614 862,807 2,588,422 1,294,211 3,882,634 1,941,317 5,823,952 2,911,976 1,455,988 727,994 363,997 1,091,992 545,996 272,998 136,499 409,498 204,749 614,248 307,124 153,562 76,781 230,344 115,172 57,586 28,793 86,380 43,190 21,595 64,786 32,393 97,180 48,590 24,295 72,886 36,443 109,330 54,665 163,996 81,998 40,999 122,998 61,499 184,498 92,249 276,748 138,374 69,187 207,562 103,781

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