7,862,056

2³ × 37 × 26561

7,862,056 factors as 2^3 × 37 × 26561. Its 16 positive divisors give a proper-divisor sum of 7,278,284, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 26561

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,140,340

Proper Divisor Sum 7,278,284

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7862053 ← → #7862059

Radix Representation

Decimal	7862056
Binary	11101111111011100101000 (23 bits)
Octal	0o35773450
Hexadecimal	0x77F728

Divisor Catalog (16)

1 2 4 8 37 74 148 296 26,561 53,122 106,244 212,488 982,757 1,965,514 3,931,028 7,862,056

Collatz Trajectory (67 steps to reach 1)

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

7,862,056 3,931,028 1,965,514 982,757 2,948,272 1,474,136 737,068 368,534 184,267 552,802 276,401 829,204 414,602 207,301 621,904 310,952 155,476 77,738 38,869 116,608 58,304 29,152 14,576 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40

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