7,625,884

2² × 7 × 272353

7,625,884 factors as 2^2 × 7 × 272353. Its 12 positive divisors give a proper-divisor sum of 7,625,940, so this integer is abundant. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 272353

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,251,824

Proper Divisor Sum 7,625,940

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7625867 ← → #7625899

Radix Representation

Decimal	7625884
Binary	11101000101110010011100 (23 bits)
Octal	0o35056234
Hexadecimal	0x745C9C

Divisor Catalog (12)

1 2 4 7 14 28 272,353 544,706 1,089,412 1,906,471 3,812,942 7,625,884

Collatz Trajectory (248 steps to reach 1)

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

7,625,884 3,812,942 1,906,471 5,719,414 2,859,707 8,579,122 4,289,561 12,868,684 6,434,342 3,217,171 9,651,514 4,825,757 14,477,272 7,238,636 3,619,318 1,809,659 5,428,978 2,714,489 8,143,468 4,071,734 2,035,867 6,107,602 3,053,801 9,161,404 4,580,702 2,290,351 6,871,054 3,435,527 10,306,582 5,153,291 15,459,874 7,729,937 23,189,812 11,594,906 5,797,453 17,392,360 8,696,180 4,348,090 2,174,045 6,522,136 3,261,068 1,630,534 815,267 2,445,802 1,222,901 3,668,704 1,834,352 917,176 458,588 229,294 114,647 343,942 171,971 515,914 257,957 773,872 386,936 193,468 96,734 48,367

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