440,655

3 × 5 × 29 × 1013

440,655 factors as 3 × 5 × 29 × 1013. Its 16 positive divisors give a proper-divisor sum of 289,425, so this integer is deficient. The Collatz stopping time is 280 steps.

Prime Factor Structure

Factorization String 3 × 5 × 29 × 1013

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 730,080

Proper Divisor Sum 289,425

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #440653 ← → #440669

Radix Representation

Decimal	440655
Binary	1101011100101001111 (19 bits)
Octal	0o1534517
Hexadecimal	0x6B94F

Divisor Catalog (16)

1 3 5 15 29 87 145 435 1,013 3,039 5,065 15,195 29,377 88,131 146,885 440,655

Collatz Trajectory (280 steps to reach 1)

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

440,655 1,321,966 660,983 1,982,950 991,475 2,974,426 1,487,213 4,461,640 2,230,820 1,115,410 557,705 1,673,116 836,558 418,279 1,254,838 627,419 1,882,258 941,129 2,823,388 1,411,694 705,847 2,117,542 1,058,771 3,176,314 1,588,157 4,764,472 2,382,236 1,191,118 595,559 1,786,678 893,339 2,680,018 1,340,009 4,020,028 2,010,014 1,005,007 3,015,022 1,507,511 4,522,534 2,261,267 6,783,802 3,391,901 10,175,704 5,087,852 2,543,926 1,271,963 3,815,890 1,907,945 5,723,836 2,861,918 1,430,959 4,292,878 2,146,439 6,439,318 3,219,659 9,658,978 4,829,489 14,488,468 7,244,234 3,622,117

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