λ
Prime Ledger

1,104,030

2 × 34 × 5 × 29 × 47
Abundant Even Composite

1,104,030 has the prime decomposition 2 × 3^4 × 5 × 29 × 47. Its 5 distinct prime factors produce 80 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 29 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 3,136,320
Proper Divisor Sum 2,032,290
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #1104017 ← → #1104041

Radix Representation

Decimal 1104030
Binary 100001101100010011110 (21 bits)
Octal 0o4154236
Hexadecimal 0x10D89E

Divisor Catalog (60 of 80)

1 2 3 5 6 9 10 15 18 27 29 30 45 47 54 58 81 87 90 94 135 141 145 162 174 235 261 270 282 290 405 423 435 470 522 705 783 810 846 870 1,269 1,305 1,363 1,410 1,566 2,115 2,349 2,538 2,610 2,726 3,807 3,915 4,089 4,230 4,698 6,345 6,815 7,614 7,830 8,178

Collatz Trajectory (147 steps to reach 1)

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

1,104,030 552,015 1,656,046 828,023 2,484,070 1,242,035 3,726,106 1,863,053 5,589,160 2,794,580 1,397,290 698,645 2,095,936 1,047,968 523,984 261,992 130,996 65,498 32,749 98,248 49,124 24,562 12,281 36,844 18,422 9,211 27,634 13,817 41,452 20,726 10,363 31,090 15,545 46,636 23,318 11,659 34,978 17,489 52,468 26,234 13,117 39,352 19,676 9,838 4,919 14,758 7,379 22,138 11,069 33,208 16,604 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006

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