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Ratio Atlas
Atlas › Integer Profiles › Node 1,320,176

1,320,176

24 × 11 × 13 × 577
Abundant Even Composite

1,320,176 factors as 2^4 × 11 × 13 × 577. Its 40 positive divisors give a proper-divisor sum of 1,690,048, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 13 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,010,224
Proper Divisor Sum 1,690,048
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1320173 ← → #1320181

Radix Representation

Decimal 1320176
Binary 101000010010011110000 (21 bits)
Octal 0o5022360
Hexadecimal 0x1424F0

Divisor Catalog (40)

1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 577 1,144 1,154 2,288 2,308 4,616 6,347 7,501 9,232 12,694 15,002 25,388 30,004 50,776 60,008 82,511 101,552 120,016 165,022 330,044 660,088 1,320,176

Collatz Trajectory (93 steps to reach 1)

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

1,320,176 660,088 330,044 165,022 82,511 247,534 123,767 371,302 185,651 556,954 278,477 835,432 417,716 208,858 104,429 313,288 156,644 78,322 39,161 117,484 58,742 29,371 88,114 44,057 132,172 66,086 33,043 99,130 49,565 148,696 74,348 37,174 18,587 55,762 27,881 83,644 41,822 20,911 62,734 31,367 94,102 47,051 141,154 70,577 211,732 105,866 52,933 158,800 79,400 39,700 19,850 9,925 29,776 14,888 7,444 3,722 1,861 5,584 2,792 1,396

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