λ
Sigma Notebook

7,729,411

37 × 317 × 659
Deficient Odd Composite

7,729,411 is odd and not a perfect square. Its factorization is 37 × 317 × 659 and its 8 divisors sum to 7,975,440.

Prime Factor Structure

Factorization String 37 × 317 × 659
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,975,440
Proper Divisor Sum 246,029
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7729391 ← → #7729433

Radix Representation

Decimal 7729411
Binary 11101011111000100000011 (23 bits)
Octal 0o35370403
Hexadecimal 0x75F103

Divisor Catalog (8)

1 37 317 659 11,729 24,383 208,903 7,729,411

Collatz Trajectory (186 steps to reach 1)

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

7,729,411 23,188,234 11,594,117 34,782,352 17,391,176 8,695,588 4,347,794 2,173,897 6,521,692 3,260,846 1,630,423 4,891,270 2,445,635 7,336,906 3,668,453 11,005,360 5,502,680 2,751,340 1,375,670 687,835 2,063,506 1,031,753 3,095,260 1,547,630 773,815 2,321,446 1,160,723 3,482,170 1,741,085 5,223,256 2,611,628 1,305,814 652,907 1,958,722 979,361 2,938,084 1,469,042 734,521 2,203,564 1,101,782 550,891 1,652,674 826,337 2,479,012 1,239,506 619,753 1,859,260 929,630 464,815 1,394,446 697,223 2,091,670 1,045,835 3,137,506 1,568,753 4,706,260 2,353,130 1,176,565 3,529,696 1,764,848

More profiles

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