62,649

3² × 6961

62,649 factors as 3^2 × 6961. Its 6 positive divisors give a proper-divisor sum of 27,857, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 3^2 × 6961

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 90,506

Proper Divisor Sum 27,857

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #62639 ← → #62653

Radix Representation

Decimal	62649
Binary	1111010010111001 (16 bits)
Octal	0o172271
Hexadecimal	0xF4B9

Divisor Catalog (6)

1 3 9 6,961 20,883 62,649

Collatz Trajectory (179 steps to reach 1)

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

62,649 187,948 93,974 46,987 140,962 70,481 211,444 105,722 52,861 158,584 79,292 39,646 19,823 59,470 29,735 89,206 44,603 133,810 66,905 200,716 100,358 50,179 150,538 75,269 225,808 112,904 56,452 28,226 14,113 42,340 21,170 10,585 31,756 15,878 7,939 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398

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