1,057,446

2 × 3² × 13 × 4519

1,057,446 has the prime decomposition 2 × 3^2 × 13 × 4519. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 4519

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,467,920

Proper Divisor Sum 1,410,474

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1057421 ← → #1057477

Radix Representation

Decimal	1057446
Binary	100000010001010100110 (21 bits)
Octal	0o4021246
Hexadecimal	0x1022A6

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 4,519 9,038 13,557 27,114 40,671 58,747 81,342 117,494 176,241 352,482 528,723 1,057,446

Collatz Trajectory (147 steps to reach 1)

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

1,057,446 528,723 1,586,170 793,085 2,379,256 1,189,628 594,814 297,407 892,222 446,111 1,338,334 669,167 2,007,502 1,003,751 3,011,254 1,505,627 4,516,882 2,258,441 6,775,324 3,387,662 1,693,831 5,081,494 2,540,747 7,622,242 3,811,121 11,433,364 5,716,682 2,858,341 8,575,024 4,287,512 2,143,756 1,071,878 535,939 1,607,818 803,909 2,411,728 1,205,864 602,932 301,466 150,733 452,200 226,100 113,050 56,525 169,576 84,788 42,394 21,197 63,592 31,796 15,898 7,949 23,848 11,924 5,962 2,981 8,944 4,472 2,236 1,118

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