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Atlas › Integer Profiles › Node 1,485,640

1,485,640

23 × 5 × 13 × 2857
Abundant Even Composite

1,485,640 factors as 2^3 × 5 × 13 × 2857. Its 32 positive divisors give a proper-divisor sum of 2,115,440, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 2857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,601,080
Proper Divisor Sum 2,115,440
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1485619 ← → #1485683

Radix Representation

Decimal 1485640
Binary 101101010101101001000 (21 bits)
Octal 0o5525510
Hexadecimal 0x16AB48

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2,857 5,714 11,428 14,285 22,856 28,570 37,141 57,140 74,282 114,280 148,564 185,705 297,128 371,410 742,820 1,485,640

Collatz Trajectory (181 steps to reach 1)

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

1,485,640 742,820 371,410 185,705 557,116 278,558 139,279 417,838 208,919 626,758 313,379 940,138 470,069 1,410,208 705,104 352,552 176,276 88,138 44,069 132,208 66,104 33,052 16,526 8,263 24,790 12,395 37,186 18,593 55,780 27,890 13,945 41,836 20,918 10,459 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571

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