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Atlas › Integer Profiles › Node 1,363,428

1,363,428

22 × 32 × 112 × 313
Abundant Even Composite

1,363,428 factors as 2^2 × 3^2 × 11^2 × 313. Its 54 positive divisors give a proper-divisor sum of 2,436,914, so this integer is abundant. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11^2 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 3,800,342
Proper Divisor Sum 2,436,914
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1363409 ← → #1363429

Radix Representation

Decimal 1363428
Binary 101001100110111100100 (21 bits)
Octal 0o5146744
Hexadecimal 0x14CDE4

Divisor Catalog (54)

1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 313 363 396 484 626 726 939 1,089 1,252 1,452 1,878 2,178 2,817 3,443 3,756 4,356 5,634 6,886 10,329 11,268 13,772 20,658 30,987 37,873 41,316 61,974 75,746 113,619 123,948 151,492 227,238 340,857 454,476 681,714 1,363,428

Collatz Trajectory (230 steps to reach 1)

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

1,363,428 681,714 340,857 1,022,572 511,286 255,643 766,930 383,465 1,150,396 575,198 287,599 862,798 431,399 1,294,198 647,099 1,941,298 970,649 2,911,948 1,455,974 727,987 2,183,962 1,091,981 3,275,944 1,637,972 818,986 409,493 1,228,480 614,240 307,120 153,560 76,780 38,390 19,195 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 69,187 207,562 103,781 311,344

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