7,757,772

2² × 3 × 11 × 58771

7,757,772 factors as 2^2 × 3 × 11 × 58771. Its 24 positive divisors give a proper-divisor sum of 11,989,620, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 58771

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,747,392

Proper Divisor Sum 11,989,620

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7757747 ← → #7757779

Radix Representation

Decimal	7757772
Binary	11101100101111111001100 (23 bits)
Octal	0o35457714
Hexadecimal	0x765FCC

Divisor Catalog (24)

Collatz Trajectory (155 steps to reach 1)

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

7,757,772 3,878,886 1,939,443 5,818,330 2,909,165 8,727,496 4,363,748 2,181,874 1,090,937 3,272,812 1,636,406 818,203 2,454,610 1,227,305 3,681,916 1,840,958 920,479 2,761,438 1,380,719 4,142,158 2,071,079 6,213,238 3,106,619 9,319,858 4,659,929 13,979,788 6,989,894 3,494,947 10,484,842 5,242,421 15,727,264 7,863,632 3,931,816 1,965,908 982,954 491,477 1,474,432 737,216 368,608 184,304 92,152 46,076 23,038 11,519 34,558 17,279 51,838 25,919 77,758 38,879 116,638 58,319 174,958 87,479 262,438 131,219 393,658 196,829 590,488 295,244

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