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Atlas › Integer Profiles › Node 1,964,320

1,964,320

25 × 5 × 12277
Abundant Even Composite

1,964,320 factors as 2^5 × 5 × 12277. Its 24 positive divisors give a proper-divisor sum of 2,676,764, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 12277
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,641,084
Proper Divisor Sum 2,676,764
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1964317 ← → #1964323

Radix Representation

Decimal 1964320
Binary 111011111100100100000 (21 bits)
Octal 0o7374440
Hexadecimal 0x1DF920

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 12,277 24,554 49,108 61,385 98,216 122,770 196,432 245,540 392,864 491,080 982,160 1,964,320

Collatz Trajectory (78 steps to reach 1)

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

1,964,320 982,160 491,080 245,540 122,770 61,385 184,156 92,078 46,039 138,118 69,059 207,178 103,589 310,768 155,384 77,692 38,846 19,423 58,270 29,135 87,406 43,703 131,110 65,555 196,666 98,333 295,000 147,500 73,750 36,875 110,626 55,313 165,940 82,970 41,485 124,456 62,228 31,114 15,557 46,672 23,336 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116 58

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