520,672

2⁵ × 53 × 307

For 520,672, the 24 positive divisors have a total of 1,047,816. Removing 520,672 leaves 527,144, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 53 × 307

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,047,816

Proper Divisor Sum 527,144

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #520649 ← → #520679

Radix Representation

Decimal	520672
Binary	1111111000111100000 (19 bits)
Octal	0o1770740
Hexadecimal	0x7F1E0

Divisor Catalog (24)

1 2 4 8 16 32 53 106 212 307 424 614 848 1,228 1,696 2,456 4,912 9,824 16,271 32,542 65,084 130,168 260,336 520,672

Collatz Trajectory (71 steps to reach 1)

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

520,672 260,336 130,168 65,084 32,542 16,271 48,814 24,407 73,222 36,611 109,834 54,917 164,752 82,376 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888 2,444 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

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