7,884,460

2² × 5 × 394223

7,884,460 factors as 2^2 × 5 × 394223. Its 12 positive divisors give a proper-divisor sum of 8,672,948, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 394223

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,557,408

Proper Divisor Sum 8,672,948

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7884431 ← → #7884467

Radix Representation

Decimal	7884460
Binary	11110000100111010101100 (23 bits)
Octal	0o36047254
Hexadecimal	0x784EAC

Divisor Catalog (12)

1 2 4 5 10 20 394,223 788,446 1,576,892 1,971,115 3,942,230 7,884,460

Collatz Trajectory (186 steps to reach 1)

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

7,884,460 3,942,230 1,971,115 5,913,346 2,956,673 8,870,020 4,435,010 2,217,505 6,652,516 3,326,258 1,663,129 4,989,388 2,494,694 1,247,347 3,742,042 1,871,021 5,613,064 2,806,532 1,403,266 701,633 2,104,900 1,052,450 526,225 1,578,676 789,338 394,669 1,184,008 592,004 296,002 148,001 444,004 222,002 111,001 333,004 166,502 83,251 249,754 124,877 374,632 187,316 93,658 46,829 140,488 70,244 35,122 17,561 52,684 26,342 13,171 39,514 19,757 59,272 29,636 14,818 7,409 22,228 11,114 5,557 16,672 8,336

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