649,374

2 × 3 × 11 × 9839

649,374 factors as 2 × 3 × 11 × 9839. Its 16 positive divisors give a proper-divisor sum of 767,586, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 9839

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,416,960

Proper Divisor Sum 767,586

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #649361 ← → #649379

Radix Representation

Decimal	649374
Binary	10011110100010011110 (20 bits)
Octal	0o2364236
Hexadecimal	0x9E89E

Divisor Catalog (16)

1 2 3 6 11 22 33 66 9,839 19,678 29,517 59,034 108,229 216,458 324,687 649,374

Collatz Trajectory (177 steps to reach 1)

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

649,374 324,687 974,062 487,031 1,461,094 730,547 2,191,642 1,095,821 3,287,464 1,643,732 821,866 410,933 1,232,800 616,400 308,200 154,100 77,050 38,525 115,576 57,788 28,894 14,447 43,342 21,671 65,014 32,507 97,522 48,761 146,284 73,142 36,571 109,714 54,857 164,572 82,286 41,143 123,430 61,715 185,146 92,573 277,720 138,860 69,430 34,715 104,146 52,073 156,220 78,110 39,055 117,166 58,583 175,750 87,875 263,626 131,813 395,440 197,720 98,860 49,430 24,715

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