7,745,840

2⁴ × 5 × 96823

7,745,840 factors as 2^4 × 5 × 96823. Its 20 positive divisors give a proper-divisor sum of 10,263,424, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 96823

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 18,009,264

Proper Divisor Sum 10,263,424

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7745833 ← → #7745849

Radix Representation

Decimal	7745840
Binary	11101100011000100110000 (23 bits)
Octal	0o35430460
Hexadecimal	0x763130

Divisor Catalog (20)

Collatz Trajectory (129 steps to reach 1)

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

7,745,840 3,872,920 1,936,460 968,230 484,115 1,452,346 726,173 2,178,520 1,089,260 544,630 272,315 816,946 408,473 1,225,420 612,710 306,355 919,066 459,533 1,378,600 689,300 344,650 172,325 516,976 258,488 129,244 64,622 32,311 96,934 48,467 145,402 72,701 218,104 109,052 54,526 27,263 81,790 40,895 122,686 61,343 184,030 92,015 276,046 138,023 414,070 207,035 621,106 310,553 931,660 465,830 232,915 698,746 349,373 1,048,120 524,060 262,030 131,015 393,046 196,523 589,570 294,785

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