521,512

2³ × 19 × 47 × 73

521,512 factors as 2^3 × 19 × 47 × 73. Its 32 positive divisors give a proper-divisor sum of 544,088, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 47 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,065,600

Proper Divisor Sum 544,088

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #521503 ← → #521519

Radix Representation

Decimal	521512
Binary	1111111010100101000 (19 bits)
Octal	0o1772450
Hexadecimal	0x7F528

Divisor Catalog (32)

1 2 4 8 19 38 47 73 76 94 146 152 188 292 376 584 893 1,387 1,786 2,774 3,431 3,572 5,548 6,862 7,144 11,096 13,724 27,448 65,189 130,378 260,756 521,512

Collatz Trajectory (102 steps to reach 1)

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

521,512 260,756 130,378 65,189 195,568 97,784 48,892 24,446 12,223 36,670 18,335 55,006 27,503 82,510 41,255 123,766 61,883 185,650 92,825 278,476 139,238 69,619 208,858 104,429 313,288 156,644 78,322 39,161 117,484 58,742 29,371 88,114 44,057 132,172 66,086 33,043 99,130 49,565 148,696 74,348 37,174 18,587 55,762 27,881 83,644 41,822 20,911 62,734 31,367 94,102 47,051 141,154 70,577 211,732 105,866 52,933 158,800 79,400 39,700 19,850

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