λ
Integer Codex

1,054,290

2 × 3 × 5 × 113 × 311
Abundant Even Composite

For 1,054,290, the 32 positive divisors have a total of 2,560,896. Removing 1,054,290 leaves 1,506,606, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 113 × 311
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,560,896
Proper Divisor Sum 1,506,606
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1054267 ← → #1054301

Radix Representation

Decimal 1054290
Binary 100000001011001010010 (21 bits)
Octal 0o4013122
Hexadecimal 0x101652

Divisor Catalog (32)

1 2 3 5 6 10 15 30 113 226 311 339 565 622 678 933 1,130 1,555 1,695 1,866 3,110 3,390 4,665 9,330 35,143 70,286 105,429 175,715 210,858 351,430 527,145 1,054,290

Collatz Trajectory (152 steps to reach 1)

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

1,054,290 527,145 1,581,436 790,718 395,359 1,186,078 593,039 1,779,118 889,559 2,668,678 1,334,339 4,003,018 2,001,509 6,004,528 3,002,264 1,501,132 750,566 375,283 1,125,850 562,925 1,688,776 844,388 422,194 211,097 633,292 316,646 158,323 474,970 237,485 712,456 356,228 178,114 89,057 267,172 133,586 66,793 200,380 100,190 50,095 150,286 75,143 225,430 112,715 338,146 169,073 507,220 253,610 126,805 380,416 190,208 95,104 47,552 23,776 11,888 5,944 2,972 1,486 743 2,230 1,115

More profiles

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