62,996

2² × 15749

62,996 factors as 2^2 × 15749. Its 6 positive divisors give a proper-divisor sum of 47,254, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^2 × 15749

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 110,250

Proper Divisor Sum 47,254

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #62989 ← → #63029

Radix Representation

Decimal	62996
Binary	1111011000010100 (16 bits)
Octal	0o173024
Hexadecimal	0xF614

Divisor Catalog (6)

1 2 4 15,749 31,498 62,996

Collatz Trajectory (130 steps to reach 1)

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

62,996 31,498 15,749 47,248 23,624 11,812 5,906 2,953 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386

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