533,125

5⁴ × 853

533,125 factors as 5^4 × 853. Its 10 positive divisors give a proper-divisor sum of 133,849, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 5^4 × 853

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 666,974

Proper Divisor Sum 133,849

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #533111 ← → #533129

Radix Representation

Decimal	533125
Binary	10000010001010000101 (20 bits)
Octal	0o2021205
Hexadecimal	0x82285

Divisor Catalog (10)

1 5 25 125 625 853 4,265 21,325 106,625 533,125

Collatz Trajectory (94 steps to reach 1)

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

533,125 1,599,376 799,688 399,844 199,922 99,961 299,884 149,942 74,971 224,914 112,457 337,372 168,686 84,343 253,030 126,515 379,546 189,773 569,320 284,660 142,330 71,165 213,496 106,748 53,374 26,687 80,062 40,031 120,094 60,047 180,142 90,071 270,214 135,107 405,322 202,661 607,984 303,992 151,996 75,998 37,999 113,998 56,999 170,998 85,499 256,498 128,249 384,748 192,374 96,187 288,562 144,281 432,844 216,422 108,211 324,634 162,317 486,952 243,476 121,738

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