λ
Harmonic Matrix

3,452,604

22 × 3 × 192 × 797
Abundant Even Composite

3,452,604 has digital root 6. The neighboring primes are 3452567 and 3452609; its proper-divisor sum differs from the starting integer by 1,607,856.

Prime Factor Structure

Factorization String 2^2 × 3 × 19^2 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,513,064
Proper Divisor Sum 5,060,460
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3452567 ← → #3452609

Radix Representation

Decimal 3452604
Binary 1101001010111010111100 (22 bits)
Octal 0o15127274
Hexadecimal 0x34AEBC

Divisor Catalog (36)

1 2 3 4 6 12 19 38 57 76 114 228 361 722 797 1,083 1,444 1,594 2,166 2,391 3,188 4,332 4,782 9,564 15,143 30,286 45,429 60,572 90,858 181,716 287,717 575,434 863,151 1,150,868 1,726,302 3,452,604

Collatz Trajectory (190 steps to reach 1)

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

3,452,604 1,726,302 863,151 2,589,454 1,294,727 3,884,182 1,942,091 5,826,274 2,913,137 8,739,412 4,369,706 2,184,853 6,554,560 3,277,280 1,638,640 819,320 409,660 204,830 102,415 307,246 153,623 460,870 230,435 691,306 345,653 1,036,960 518,480 259,240 129,620 64,810 32,405 97,216 48,608 24,304 12,152 6,076 3,038 1,519 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653

More profiles

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