λ
Prime Ledger

3,546,609

3 × 11 × 107473
Deficient Odd Composite

3,546,609 has the prime decomposition 3 × 11 × 107473. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 107473
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,158,752
Proper Divisor Sum 1,612,143
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3546607 ← → #3546619

Radix Representation

Decimal 3546609
Binary 1101100001110111110001 (22 bits)
Octal 0o15416761
Hexadecimal 0x361DF1

Divisor Catalog (8)

1 3 11 33 107,473 322,419 1,182,203 3,546,609

Collatz Trajectory (146 steps to reach 1)

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

3,546,609 10,639,828 5,319,914 2,659,957 7,979,872 3,989,936 1,994,968 997,484 498,742 249,371 748,114 374,057 1,122,172 561,086 280,543 841,630 420,815 1,262,446 631,223 1,893,670 946,835 2,840,506 1,420,253 4,260,760 2,130,380 1,065,190 532,595 1,597,786 798,893 2,396,680 1,198,340 599,170 299,585 898,756 449,378 224,689 674,068 337,034 168,517 505,552 252,776 126,388 63,194 31,597 94,792 47,396 23,698 11,849 35,548 17,774 8,887 26,662 13,331 39,994 19,997 59,992 29,996 14,998 7,499 22,498

More profiles

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