533,001

3 × 7 × 17 × 1493

533,001 factors as 3 × 7 × 17 × 1493. Its 16 positive divisors give a proper-divisor sum of 327,543, so this integer is deficient. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 1493

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 860,544

Proper Divisor Sum 327,543

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #532999 ← → #533003

Radix Representation

Decimal	533001
Binary	10000010001000001001 (20 bits)
Octal	0o2021011
Hexadecimal	0x82209

Divisor Catalog (16)

1 3 7 17 21 51 119 357 1,493 4,479 10,451 25,381 31,353 76,143 177,667 533,001

Collatz Trajectory (208 steps to reach 1)

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

533,001 1,599,004 799,502 399,751 1,199,254 599,627 1,798,882 899,441 2,698,324 1,349,162 674,581 2,023,744 1,011,872 505,936 252,968 126,484 63,242 31,621 94,864 47,432 23,716 11,858 5,929 17,788 8,894 4,447 13,342 6,671 20,014 10,007 30,022 15,011 45,034 22,517 67,552 33,776 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302

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