λ
Prime Ledger

1,032,215

5 × 43 × 4801
Deficient Odd Composite

1,032,215 has the prime decomposition 5 × 43 × 4801. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 43 × 4801
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,267,728
Proper Divisor Sum 235,513
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #1032211 ← → #1032221

Radix Representation

Decimal 1032215
Binary 11111100000000010111 (20 bits)
Octal 0o3740027
Hexadecimal 0xFC017

Divisor Catalog (8)

1 5 43 215 4,801 24,005 206,443 1,032,215

Collatz Trajectory (152 steps to reach 1)

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

1,032,215 3,096,646 1,548,323 4,644,970 2,322,485 6,967,456 3,483,728 1,741,864 870,932 435,466 217,733 653,200 326,600 163,300 81,650 40,825 122,476 61,238 30,619 91,858 45,929 137,788 68,894 34,447 103,342 51,671 155,014 77,507 232,522 116,261 348,784 174,392 87,196 43,598 21,799 65,398 32,699 98,098 49,049 147,148 73,574 36,787 110,362 55,181 165,544 82,772 41,386 20,693 62,080 31,040 15,520 7,760 3,880 1,940 970 485 1,456 728 364 182

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