λ
Prime Ledger

1,070,772

22 × 3 × 89231
Abundant Even Composite

1,070,772 has the prime decomposition 2^2 × 3 × 89231. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 89231
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,498,496
Proper Divisor Sum 1,427,724
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1070761 ← → #1070777

Radix Representation

Decimal 1070772
Binary 100000101011010110100 (21 bits)
Octal 0o4053264
Hexadecimal 0x1056B4

Divisor Catalog (12)

1 2 3 4 6 12 89,231 178,462 267,693 356,924 535,386 1,070,772

Collatz Trajectory (147 steps to reach 1)

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

1,070,772 535,386 267,693 803,080 401,540 200,770 100,385 301,156 150,578 75,289 225,868 112,934 56,467 169,402 84,701 254,104 127,052 63,526 31,763 95,290 47,645 142,936 71,468 35,734 17,867 53,602 26,801 80,404 40,202 20,101 60,304 30,152 15,076 7,538 3,769 11,308 5,654 2,827 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803

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