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Atlas › Integer Profiles › Node 1,037,918

1,037,918

2 × 73 × 17 × 89
Deficient Even Composite

1,037,918 factors as 2 × 7^3 × 17 × 89. Its 32 positive divisors give a proper-divisor sum of 906,082, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2 × 7^3 × 17 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,944,000
Proper Divisor Sum 906,082
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1037917 ← → #1037929

Radix Representation

Decimal 1037918
Binary 11111101011001011110 (20 bits)
Octal 0o3753136
Hexadecimal 0xFD65E

Divisor Catalog (32)

1 2 7 14 17 34 49 89 98 119 178 238 343 623 686 833 1,246 1,513 1,666 3,026 4,361 5,831 8,722 10,591 11,662 21,182 30,527 61,054 74,137 148,274 518,959 1,037,918

Collatz Trajectory (196 steps to reach 1)

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

1,037,918 518,959 1,556,878 778,439 2,335,318 1,167,659 3,502,978 1,751,489 5,254,468 2,627,234 1,313,617 3,940,852 1,970,426 985,213 2,955,640 1,477,820 738,910 369,455 1,108,366 554,183 1,662,550 831,275 2,493,826 1,246,913 3,740,740 1,870,370 935,185 2,805,556 1,402,778 701,389 2,104,168 1,052,084 526,042 263,021 789,064 394,532 197,266 98,633 295,900 147,950 73,975 221,926 110,963 332,890 166,445 499,336 249,668 124,834 62,417 187,252 93,626 46,813 140,440 70,220 35,110 17,555 52,666 26,333 79,000 39,500

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