488,096

2⁵ × 7 × 2179

For 488,096, the 24 positive divisors have a total of 1,098,720. Removing 488,096 leaves 610,624, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 7 × 2179

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,098,720

Proper Divisor Sum 610,624

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #488069 ← → #488119

Radix Representation

Decimal	488096
Binary	1110111001010100000 (19 bits)
Octal	0o1671240
Hexadecimal	0x772A0

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 2,179 4,358 8,716 15,253 17,432 30,506 34,864 61,012 69,728 122,024 244,048 488,096

Collatz Trajectory (37 steps to reach 1)

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

488,096 244,048 122,024 61,012 30,506 15,253 45,760 22,880 11,440 5,720 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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