62,577

3² × 17 × 409

62,577 has digital root 9. The neighboring primes are 62563 and 62581; its proper-divisor sum differs from the starting integer by -29,214.

Prime Factor Structure

Factorization String 3^2 × 17 × 409

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 95,940

Proper Divisor Sum 33,363

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #62563 ← → #62581

Radix Representation

Decimal	62577
Binary	1111010001110001 (16 bits)
Octal	0o172161
Hexadecimal	0xF471

Divisor Catalog (12)

1 3 9 17 51 153 409 1,227 3,681 6,953 20,859 62,577

Collatz Trajectory (104 steps to reach 1)

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

62,577 187,732 93,866 46,933 140,800 70,400 35,200 17,600 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429

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