λ
Sigma Notebook

1,649,415

3 × 5 × 109961
Deficient Odd Composite

1,649,415 is odd and not a perfect square. Its factorization is 3 × 5 × 109961 and its 8 divisors sum to 2,639,088.

Prime Factor Structure

Factorization String 3 × 5 × 109961
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,639,088
Proper Divisor Sum 989,673
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1649411 ← → #1649419

Radix Representation

Decimal 1649415
Binary 110010010101100000111 (21 bits)
Octal 0o6225407
Hexadecimal 0x192B07

Divisor Catalog (8)

1 3 5 15 109,961 329,883 549,805 1,649,415

Collatz Trajectory (176 steps to reach 1)

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

1,649,415 4,948,246 2,474,123 7,422,370 3,711,185 11,133,556 5,566,778 2,783,389 8,350,168 4,175,084 2,087,542 1,043,771 3,131,314 1,565,657 4,696,972 2,348,486 1,174,243 3,522,730 1,761,365 5,284,096 2,642,048 1,321,024 660,512 330,256 165,128 82,564 41,282 20,641 61,924 30,962 15,481 46,444 23,222 11,611 34,834 17,417 52,252 26,126 13,063 39,190 19,595 58,786 29,393 88,180 44,090 22,045 66,136 33,068 16,534 8,267 24,802 12,401 37,204 18,602 9,301 27,904 13,952 6,976 3,488 1,744

More profiles

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