49,827

3 × 17 × 977

49,827 factors as 3 × 17 × 977. Its 8 positive divisors give a proper-divisor sum of 20,589, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 3 × 17 × 977

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 70,416

Proper Divisor Sum 20,589

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #49823 ← → #49831

Radix Representation

Decimal	49827
Binary	1100001010100011 (16 bits)
Octal	0o141243
Hexadecimal	0xC2A3

Divisor Catalog (8)

1 3 17 51 977 2,931 16,609 49,827

Collatz Trajectory (96 steps to reach 1)

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

49,827 149,482 74,741 224,224 112,112 56,056 28,028 14,014 7,007 21,022 10,511 31,534 15,767 47,302 23,651 70,954 35,477 106,432 53,216 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392

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