1,635,080

2³ × 5 × 41 × 997

1,635,080 has the prime decomposition 2^3 × 5 × 41 × 997. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 41 × 997

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,772,440

Proper Divisor Sum 2,137,360

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1635079 ← → #1635091

Radix Representation

Decimal	1635080
Binary	110001111001100001000 (21 bits)
Octal	0o6171410
Hexadecimal	0x18F308

Divisor Catalog (32)

1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 997 1,640 1,994 3,988 4,985 7,976 9,970 19,940 39,880 40,877 81,754 163,508 204,385 327,016 408,770 817,540 1,635,080

Collatz Trajectory (88 steps to reach 1)

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

1,635,080 817,540 408,770 204,385 613,156 306,578 153,289 459,868 229,934 114,967 344,902 172,451 517,354 258,677 776,032 388,016 194,008 97,004 48,502 24,251 72,754 36,377 109,132 54,566 27,283 81,850 40,925 122,776 61,388 30,694 15,347 46,042 23,021 69,064 34,532 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732

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