λ
Prime Ledger

1,040,035

5 × 79 × 2633
Deficient Odd Composite

1,040,035 has the prime decomposition 5 × 79 × 2633. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 79 × 2633
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,264,320
Proper Divisor Sum 224,285
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #1040029 ← → #1040051

Radix Representation

Decimal 1040035
Binary 11111101111010100011 (20 bits)
Octal 0o3757243
Hexadecimal 0xFDEA3

Divisor Catalog (8)

1 5 79 395 2,633 13,165 208,007 1,040,035

Collatz Trajectory (77 steps to reach 1)

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

1,040,035 3,120,106 1,560,053 4,680,160 2,340,080 1,170,040 585,020 292,510 146,255 438,766 219,383 658,150 329,075 987,226 493,613 1,480,840 740,420 370,210 185,105 555,316 277,658 138,829 416,488 208,244 104,122 52,061 156,184 78,092 39,046 19,523 58,570 29,285 87,856 43,928 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184

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