45,468,332

2² × 7 × 13 × 23 × 5431

45,468,332 factors as 2^2 × 7 × 13 × 23 × 5431. Its 48 positive divisors give a proper-divisor sum of 56,740,180, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 23 × 5431

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 102,208,512

Proper Divisor Sum 56,740,180

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #45468331 ← → #45468341

Radix Representation

Decimal	45468332
Binary	10101101011100101010101100 (26 bits)
Octal	0o255345254
Hexadecimal	0x2B5CAAC

Divisor Catalog (48)

Collatz Trajectory (155 steps to reach 1)

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

45,468,332 22,734,166 11,367,083 34,101,250 17,050,625 51,151,876 25,575,938 12,787,969 38,363,908 19,181,954 9,590,977 28,772,932 14,386,466 7,193,233 21,579,700 10,789,850 5,394,925 16,184,776 8,092,388 4,046,194 2,023,097 6,069,292 3,034,646 1,517,323 4,551,970 2,275,985 6,827,956 3,413,978 1,706,989 5,120,968 2,560,484 1,280,242 640,121 1,920,364 960,182 480,091 1,440,274 720,137 2,160,412 1,080,206 540,103 1,620,310 810,155 2,430,466 1,215,233 3,645,700 1,822,850 911,425 2,734,276 1,367,138 683,569 2,050,708 1,025,354 512,677 1,538,032 769,016 384,508 192,254 96,127 288,382

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