523,928

2³ × 79 × 829

523,928 factors as 2^3 × 79 × 829. Its 16 positive divisors give a proper-divisor sum of 472,072, so this integer is deficient. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^3 × 79 × 829

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 996,000

Proper Divisor Sum 472,072

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #523927 ← → #523937

Radix Representation

Decimal	523928
Binary	1111111111010011000 (19 bits)
Octal	0o1777230
Hexadecimal	0x7FE98

Divisor Catalog (16)

1 2 4 8 79 158 316 632 829 1,658 3,316 6,632 65,491 130,982 261,964 523,928

Collatz Trajectory (195 steps to reach 1)

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

523,928 261,964 130,982 65,491 196,474 98,237 294,712 147,356 73,678 36,839 110,518 55,259 165,778 82,889 248,668 124,334 62,167 186,502 93,251 279,754 139,877 419,632 209,816 104,908 52,454 26,227 78,682 39,341 118,024 59,012 29,506 14,753 44,260 22,130 11,065 33,196 16,598 8,299 24,898 12,449 37,348 18,674 9,337 28,012 14,006 7,003 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946

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