λ
Sigma Notebook

3,100,657

7 × 439 × 1009
Deficient Odd Composite

3,100,657 is odd and not a perfect square. Its factorization is 7 × 439 × 1009 and its 8 divisors sum to 3,555,200.

Prime Factor Structure

Factorization String 7 × 439 × 1009
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,555,200
Proper Divisor Sum 454,543
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3100649 ← → #3100661

Radix Representation

Decimal 3100657
Binary 1011110100111111110001 (22 bits)
Octal 0o13647761
Hexadecimal 0x2F4FF1

Divisor Catalog (8)

1 7 439 1,009 3,073 7,063 442,951 3,100,657

Collatz Trajectory (107 steps to reach 1)

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

3,100,657 9,301,972 4,650,986 2,325,493 6,976,480 3,488,240 1,744,120 872,060 436,030 218,015 654,046 327,023 981,070 490,535 1,471,606 735,803 2,207,410 1,103,705 3,311,116 1,655,558 827,779 2,483,338 1,241,669 3,725,008 1,862,504 931,252 465,626 232,813 698,440 349,220 174,610 87,305 261,916 130,958 65,479 196,438 98,219 294,658 147,329 441,988 220,994 110,497 331,492 165,746 82,873 248,620 124,310 62,155 186,466 93,233 279,700 139,850 69,925 209,776 104,888 52,444 26,222 13,111 39,334 19,667

More profiles

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