λ
Match Zalai

748,379

748379
Deficient Odd Prime

748,379 factors as 748379. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 748379
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 748,380
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #748361 ← → #748387

Radix Representation

Decimal 748379
Binary 10110110101101011011 (20 bits)
Octal 0o2665533
Hexadecimal 0xB6B5B

Divisor Catalog (2)

Collatz Trajectory (87 steps to reach 1)

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

748,379 2,245,138 1,122,569 3,367,708 1,683,854 841,927 2,525,782 1,262,891 3,788,674 1,894,337 5,683,012 2,841,506 1,420,753 4,262,260 2,131,130 1,065,565 3,196,696 1,598,348 799,174 399,587 1,198,762 599,381 1,798,144 899,072 449,536 224,768 112,384 56,192 28,096 14,048 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134

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