8,107,780

2² × 5 × 59 × 6871

8,107,780 factors as 2^2 × 5 × 59 × 6871. Its 24 positive divisors give a proper-divisor sum of 9,209,660, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 59 × 6871

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,317,440

Proper Divisor Sum 9,209,660

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8107769 ← → #8107787

Radix Representation

Decimal	8107780
Binary	11110111011011100000100 (23 bits)
Octal	0o36733404
Hexadecimal	0x7BB704

Divisor Catalog (24)

Collatz Trajectory (85 steps to reach 1)

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

8,107,780 4,053,890 2,026,945 6,080,836 3,040,418 1,520,209 4,560,628 2,280,314 1,140,157 3,420,472 1,710,236 855,118 427,559 1,282,678 641,339 1,924,018 962,009 2,886,028 1,443,014 721,507 2,164,522 1,082,261 3,246,784 1,623,392 811,696 405,848 202,924 101,462 50,731 152,194 76,097 228,292 114,146 57,073 171,220 85,610 42,805 128,416 64,208 32,104 16,052 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584

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