λ
Ratio Atlas
Atlas › Integer Profiles › Node 500,692

500,692

22 × 41 × 43 × 71
Deficient Even Composite

500,692 factors as 2^2 × 41 × 43 × 71. Its 24 positive divisors give a proper-divisor sum of 430,700, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^2 × 41 × 43 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 931,392
Proper Divisor Sum 430,700
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #500677 ← → #500693

Radix Representation

Decimal 500692
Binary 1111010001111010100 (19 bits)
Octal 0o1721724
Hexadecimal 0x7A3D4

Divisor Catalog (24)

1 2 4 41 43 71 82 86 142 164 172 284 1,763 2,911 3,053 3,526 5,822 6,106 7,052 11,644 12,212 125,173 250,346 500,692

Collatz Trajectory (89 steps to reach 1)

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

500,692 250,346 125,173 375,520 187,760 93,880 46,940 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #500,691 Browse Full Index Next Integer #500,693 →