525,084

2² × 3 × 7² × 19 × 47

525,084 factors as 2^2 × 3 × 7^2 × 19 × 47. Its 72 positive divisors give a proper-divisor sum of 1,007,076, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 19 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,532,160

Proper Divisor Sum 1,007,076

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #525043 ← → #525101

Radix Representation

Decimal	525084
Binary	10000000001100011100 (20 bits)
Octal	0o2001434
Hexadecimal	0x8031C

Divisor Catalog (60 of 72)

1 2 3 4 6 7 12 14 19 21 28 38 42 47 49 57 76 84 94 98 114 133 141 147 188 196 228 266 282 294 329 399 532 564 588 658 798 893 931 987 1,316 1,596 1,786 1,862 1,974 2,303 2,679 2,793 3,572 3,724 3,948 4,606 5,358 5,586 6,251 6,909 9,212 10,716 11,172 12,502

Collatz Trajectory (89 steps to reach 1)

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

525,084 262,542 131,271 393,814 196,907 590,722 295,361 886,084 443,042 221,521 664,564 332,282 166,141 498,424 249,212 124,606 62,303 186,910 93,455 280,366 140,183 420,550 210,275 630,826 315,413 946,240 473,120 236,560 118,280 59,140 29,570 14,785 44,356 22,178 11,089 33,268 16,634 8,317 24,952 12,476 6,238 3,119 9,358 4,679 14,038 7,019 21,058 10,529 31,588 15,794 7,897 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332

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