7,795,992

2³ × 3 × 157 × 2069

7,795,992 factors as 2^3 × 3 × 157 × 2069. Its 32 positive divisors give a proper-divisor sum of 11,827,608, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 157 × 2069

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 19,623,600

Proper Divisor Sum 11,827,608

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #7795961 ← → #7795993

Radix Representation

Decimal	7795992
Binary	11101101111010100011000 (23 bits)
Octal	0o35572430
Hexadecimal	0x76F518

Divisor Catalog (32)

Collatz Trajectory (124 steps to reach 1)

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

7,795,992 3,897,996 1,948,998 974,499 2,923,498 1,461,749 4,385,248 2,192,624 1,096,312 548,156 274,078 137,039 411,118 205,559 616,678 308,339 925,018 462,509 1,387,528 693,764 346,882 173,441 520,324 260,162 130,081 390,244 195,122 97,561 292,684 146,342 73,171 219,514 109,757 329,272 164,636 82,318 41,159 123,478 61,739 185,218 92,609 277,828 138,914 69,457 208,372 104,186 52,093 156,280 78,140 39,070 19,535 58,606 29,303 87,910 43,955 131,866 65,933 197,800 98,900 49,450

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