λ
Integer Codex

1,065,176

23 × 7 × 23 × 827
Abundant Even Composite

For 1,065,176, the 32 positive divisors have a total of 2,384,640. Removing 1,065,176 leaves 1,319,464, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 7 × 23 × 827
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,384,640
Proper Divisor Sum 1,319,464
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1065173 ← → #1065209

Radix Representation

Decimal 1065176
Binary 100000100000011011000 (21 bits)
Octal 0o4040330
Hexadecimal 0x1040D8

Divisor Catalog (32)

1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 827 1,288 1,654 3,308 5,789 6,616 11,578 19,021 23,156 38,042 46,312 76,084 133,147 152,168 266,294 532,588 1,065,176

Collatz Trajectory (147 steps to reach 1)

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

1,065,176 532,588 266,294 133,147 399,442 199,721 599,164 299,582 149,791 449,374 224,687 674,062 337,031 1,011,094 505,547 1,516,642 758,321 2,274,964 1,137,482 568,741 1,706,224 853,112 426,556 213,278 106,639 319,918 159,959 479,878 239,939 719,818 359,909 1,079,728 539,864 269,932 134,966 67,483 202,450 101,225 303,676 151,838 75,919 227,758 113,879 341,638 170,819 512,458 256,229 768,688 384,344 192,172 96,086 48,043 144,130 72,065 216,196 108,098 54,049 162,148 81,074 40,537

More profiles

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