4,496,512

2⁷ × 35129

4,496,512 factors as 2^7 × 35129. Its 16 positive divisors give a proper-divisor sum of 4,461,638, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^7 × 35129

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,958,150

Proper Divisor Sum 4,461,638

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4496509 ← → #4496533

Radix Representation

Decimal	4496512
Binary	10001001001110010000000 (23 bits)
Octal	0o21116200
Hexadecimal	0x449C80

Divisor Catalog (16)

1 2 4 8 16 32 64 128 35,129 70,258 140,516 281,032 562,064 1,124,128 2,248,256 4,496,512

Collatz Trajectory (180 steps to reach 1)

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

4,496,512 2,248,256 1,124,128 562,064 281,032 140,516 70,258 35,129 105,388 52,694 26,347 79,042 39,521 118,564 59,282 29,641 88,924 44,462 22,231 66,694 33,347 100,042 50,021 150,064 75,032 37,516 18,758 9,379 28,138 14,069 42,208 21,104 10,552 5,276 2,638 1,319 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796

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