λ
Sigma Notebook

3,977,763

3 × 139 × 9539
Deficient Odd Composite

3,977,763 is odd and not a perfect square. Its factorization is 3 × 139 × 9539 and its 8 divisors sum to 5,342,400.

Prime Factor Structure

Factorization String 3 × 139 × 9539
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,342,400
Proper Divisor Sum 1,364,637
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3977761 ← → #3977777

Radix Representation

Decimal 3977763
Binary 1111001011001000100011 (22 bits)
Octal 0o17131043
Hexadecimal 0x3CB223

Divisor Catalog (8)

1 3 139 417 9,539 28,617 1,325,921 3,977,763

Collatz Trajectory (66 steps to reach 1)

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

3,977,763 11,933,290 5,966,645 17,899,936 8,949,968 4,474,984 2,237,492 1,118,746 559,373 1,678,120 839,060 419,530 209,765 629,296 314,648 157,324 78,662 39,331 117,994 58,997 176,992 88,496 44,248 22,124 11,062 5,531 16,594 8,297 24,892 12,446 6,223 18,670 9,335 28,006 14,003 42,010 21,005 63,016 31,508 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20

More profiles

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