495,006

2 × 3 × 17 × 23 × 211

495,006 factors as 2 × 3 × 17 × 23 × 211. Its 32 positive divisors give a proper-divisor sum of 604,002, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 23 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,099,008

Proper Divisor Sum 604,002

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #494987 ← → #495017

Radix Representation

Decimal	495006
Binary	1111000110110011110 (19 bits)
Octal	0o1706636
Hexadecimal	0x78D9E

Divisor Catalog (32)

1 2 3 6 17 23 34 46 51 69 102 138 211 391 422 633 782 1,173 1,266 2,346 3,587 4,853 7,174 9,706 10,761 14,559 21,522 29,118 82,501 165,002 247,503 495,006

Collatz Trajectory (120 steps to reach 1)

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

495,006 247,503 742,510 371,255 1,113,766 556,883 1,670,650 835,325 2,505,976 1,252,988 626,494 313,247 939,742 469,871 1,409,614 704,807 2,114,422 1,057,211 3,171,634 1,585,817 4,757,452 2,378,726 1,189,363 3,568,090 1,784,045 5,352,136 2,676,068 1,338,034 669,017 2,007,052 1,003,526 501,763 1,505,290 752,645 2,257,936 1,128,968 564,484 282,242 141,121 423,364 211,682 105,841 317,524 158,762 79,381 238,144 119,072 59,536 29,768 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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