λ
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Atlas › Integer Profiles › Node 5,044,192

5,044,192

25 × 283 × 557
Deficient Even Composite

5,044,192 factors as 2^5 × 283 × 557. Its 24 positive divisors give a proper-divisor sum of 4,939,544, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^5 × 283 × 557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,983,736
Proper Divisor Sum 4,939,544
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5044187 ← → #5044211

Radix Representation

Decimal 5044192
Binary 10011001111011111100000 (23 bits)
Octal 0o23173740
Hexadecimal 0x4CF7E0

Divisor Catalog (24)

1 2 4 8 16 32 283 557 566 1,114 1,132 2,228 2,264 4,456 4,528 8,912 9,056 17,824 157,631 315,262 630,524 1,261,048 2,522,096 5,044,192

Collatz Trajectory (131 steps to reach 1)

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

5,044,192 2,522,096 1,261,048 630,524 315,262 157,631 472,894 236,447 709,342 354,671 1,064,014 532,007 1,596,022 798,011 2,394,034 1,197,017 3,591,052 1,795,526 897,763 2,693,290 1,346,645 4,039,936 2,019,968 1,009,984 504,992 252,496 126,248 63,124 31,562 15,781 47,344 23,672 11,836 5,918 2,959 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344

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