λ
Zalai Atlas

1,077,348

22 × 3 × 89779
Abundant Even Composite

1,077,348 has the prime decomposition 2^2 × 3 × 89779. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 89779
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,513,840
Proper Divisor Sum 1,436,492
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1077347 ← → #1077353

Radix Representation

Decimal 1077348
Binary 100000111000001100100 (21 bits)
Octal 0o4070144
Hexadecimal 0x107064

Divisor Catalog (12)

1 2 3 4 6 12 89,779 179,558 269,337 359,116 538,674 1,077,348

Collatz Trajectory (116 steps to reach 1)

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

1,077,348 538,674 269,337 808,012 404,006 202,003 606,010 303,005 909,016 454,508 227,254 113,627 340,882 170,441 511,324 255,662 127,831 383,494 191,747 575,242 287,621 862,864 431,432 215,716 107,858 53,929 161,788 80,894 40,447 121,342 60,671 182,014 91,007 273,022 136,511 409,534 204,767 614,302 307,151 921,454 460,727 1,382,182 691,091 2,073,274 1,036,637 3,109,912 1,554,956 777,478 388,739 1,166,218 583,109 1,749,328 874,664 437,332 218,666 109,333 328,000 164,000 82,000 41,000

More profiles

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