494,835

3 × 5 × 11 × 2999

494,835 factors as 3 × 5 × 11 × 2999. Its 16 positive divisors give a proper-divisor sum of 369,165, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 2999

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 864,000

Proper Divisor Sum 369,165

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #494803 ← → #494843

Radix Representation

Decimal	494835
Binary	1111000110011110011 (19 bits)
Octal	0o1706363
Hexadecimal	0x78CF3

Divisor Catalog (16)

1 3 5 11 15 33 55 165 2,999 8,997 14,995 32,989 44,985 98,967 164,945 494,835

Collatz Trajectory (120 steps to reach 1)

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

494,835 1,484,506 742,253 2,226,760 1,113,380 556,690 278,345 835,036 417,518 208,759 626,278 313,139 939,418 469,709 1,409,128 704,564 352,282 176,141 528,424 264,212 132,106 66,053 198,160 99,080 49,540 24,770 12,385 37,156 18,578 9,289 27,868 13,934 6,967 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844

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