λ
Prime Ledger

3,506,797

7 × 197 × 2543
Deficient Odd Composite

3,506,797 has the prime decomposition 7 × 197 × 2543. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 197 × 2543
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,029,696
Proper Divisor Sum 522,899
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3506753 ← → #3506801

Radix Representation

Decimal 3506797
Binary 1101011000001001101101 (22 bits)
Octal 0o15301155
Hexadecimal 0x35826D

Divisor Catalog (8)

1 7 197 1,379 2,543 17,801 500,971 3,506,797

Collatz Trajectory (221 steps to reach 1)

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

3,506,797 10,520,392 5,260,196 2,630,098 1,315,049 3,945,148 1,972,574 986,287 2,958,862 1,479,431 4,438,294 2,219,147 6,657,442 3,328,721 9,986,164 4,993,082 2,496,541 7,489,624 3,744,812 1,872,406 936,203 2,808,610 1,404,305 4,212,916 2,106,458 1,053,229 3,159,688 1,579,844 789,922 394,961 1,184,884 592,442 296,221 888,664 444,332 222,166 111,083 333,250 166,625 499,876 249,938 124,969 374,908 187,454 93,727 281,182 140,591 421,774 210,887 632,662 316,331 948,994 474,497 1,423,492 711,746 355,873 1,067,620 533,810 266,905 800,716

More profiles

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