524,259

3³ × 19417

524,259 factors as 3^3 × 19417. Its 8 positive divisors give a proper-divisor sum of 252,461, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 3^3 × 19417

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 776,720

Proper Divisor Sum 252,461

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #524257 ← → #524261

Radix Representation

Decimal	524259
Binary	1111111111111100011 (19 bits)
Octal	0o1777743
Hexadecimal	0x7FFE3

Divisor Catalog (8)

1 3 9 27 19,417 58,251 174,753 524,259

Collatz Trajectory (164 steps to reach 1)

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

524,259 1,572,778 786,389 2,359,168 1,179,584 589,792 294,896 147,448 73,724 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951 629,854 314,927 944,782 472,391 1,417,174 708,587 2,125,762 1,062,881 3,188,644 1,594,322 797,161 2,391,484 1,195,742 597,871 1,793,614 896,807 2,690,422 1,345,211 4,035,634 2,017,817 6,053,452 3,026,726 1,513,363 4,540,090 2,270,045 6,810,136 3,405,068 1,702,534 851,267 2,553,802 1,276,901 3,830,704 1,915,352 957,676 478,838 239,419 718,258

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