λ
Prime Ledger

1,106,948

22 × 31 × 79 × 113
Deficient Even Composite

1,106,948 has the prime decomposition 2^2 × 31 × 79 × 113. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 31 × 79 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,042,880
Proper Divisor Sum 935,932
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1106939 ← → #1106953

Radix Representation

Decimal 1106948
Binary 100001110010000000100 (21 bits)
Octal 0o4162004
Hexadecimal 0x10E404

Divisor Catalog (24)

1 2 4 31 62 79 113 124 158 226 316 452 2,449 3,503 4,898 7,006 8,927 9,796 14,012 17,854 35,708 276,737 553,474 1,106,948

Collatz Trajectory (59 steps to reach 1)

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

1,106,948 553,474 276,737 830,212 415,106 207,553 622,660 311,330 155,665 466,996 233,498 116,749 350,248 175,124 87,562 43,781 131,344 65,672 32,836 16,418 8,209 24,628 12,314 6,157 18,472 9,236 4,618 2,309 6,928 3,464 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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