λ
Match Zalai

5,730,793

5730793
Deficient Odd Prime

5,730,793 factors as 5730793. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 5730793
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,730,794
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5730779 ← → #5730811

Radix Representation

Decimal 5730793
Binary 10101110111000111101001 (23 bits)
Octal 0o25670751
Hexadecimal 0x5771E9

Divisor Catalog (2)

Collatz Trajectory (157 steps to reach 1)

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

5,730,793 17,192,380 8,596,190 4,298,095 12,894,286 6,447,143 19,341,430 9,670,715 29,012,146 14,506,073 43,518,220 21,759,110 10,879,555 32,638,666 16,319,333 48,958,000 24,479,000 12,239,500 6,119,750 3,059,875 9,179,626 4,589,813 13,769,440 6,884,720 3,442,360 1,721,180 860,590 430,295 1,290,886 645,443 1,936,330 968,165 2,904,496 1,452,248 726,124 363,062 181,531 544,594 272,297 816,892 408,446 204,223 612,670 306,335 919,006 459,503 1,378,510 689,255 2,067,766 1,033,883 3,101,650 1,550,825 4,652,476 2,326,238 1,163,119 3,489,358 1,744,679 5,234,038 2,617,019 7,851,058

More profiles

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