λ
Sigma Notebook

1,013,892

22 × 3 × 11 × 7681
Abundant Even Composite

1,013,892 is even and not a perfect square. Its factorization is 2^2 × 3 × 11 × 7681 and its 24 divisors sum to 2,581,152.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 7681
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,581,152
Proper Divisor Sum 1,567,260
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1013891 ← → #1013893

Radix Representation

Decimal 1013892
Binary 11110111100010000100 (20 bits)
Octal 0o3674204
Hexadecimal 0xF7884

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 7,681 15,362 23,043 30,724 46,086 84,491 92,172 168,982 253,473 337,964 506,946 1,013,892

Collatz Trajectory (82 steps to reach 1)

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

1,013,892 506,946 253,473 760,420 380,210 190,105 570,316 285,158 142,579 427,738 213,869 641,608 320,804 160,402 80,201 240,604 120,302 60,151 180,454 90,227 270,682 135,341 406,024 203,012 101,506 50,753 152,260 76,130 38,065 114,196 57,098 28,549 85,648 42,824 21,412 10,706 5,353 16,060 8,030 4,015 12,046 6,023 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073

More profiles

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