62,528

2⁶ × 977

62,528 has digital root 5. The neighboring primes are 62507 and 62533; its proper-divisor sum differs from the starting integer by -850.

Prime Factor Structure

Factorization String 2^6 × 977

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 124,206

Proper Divisor Sum 61,678

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #62507 ← → #62533

Radix Representation

Decimal	62528
Binary	1111010001000000 (16 bits)
Octal	0o172100
Hexadecimal	0xF440

Divisor Catalog (14)

1 2 4 8 16 32 64 977 1,954 3,908 7,816 15,632 31,264 62,528

Collatz Trajectory (104 steps to reach 1)

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

62,528 31,264 15,632 7,816 3,908 1,954 977 2,932 1,466 733 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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