λ
Harmonic Matrix

3,609,404

22 × 902351
Deficient Even Composite

3,609,404 has digital root 8. The neighboring primes are 3609391 and 3609407; its proper-divisor sum differs from the starting integer by -902,344.

Prime Factor Structure

Factorization String 2^2 × 902351
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 6,316,464
Proper Divisor Sum 2,707,060
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3609391 ← → #3609407

Radix Representation

Decimal 3609404
Binary 1101110001001100111100 (22 bits)
Octal 0o15611474
Hexadecimal 0x37133C

Divisor Catalog (6)

1 2 4 902,351 1,804,702 3,609,404

Collatz Trajectory (309 steps to reach 1)

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

3,609,404 1,804,702 902,351 2,707,054 1,353,527 4,060,582 2,030,291 6,090,874 3,045,437 9,136,312 4,568,156 2,284,078 1,142,039 3,426,118 1,713,059 5,139,178 2,569,589 7,708,768 3,854,384 1,927,192 963,596 481,798 240,899 722,698 361,349 1,084,048 542,024 271,012 135,506 67,753 203,260 101,630 50,815 152,446 76,223 228,670 114,335 343,006 171,503 514,510 257,255 771,766 385,883 1,157,650 578,825 1,736,476 868,238 434,119 1,302,358 651,179 1,953,538 976,769 2,930,308 1,465,154 732,577 2,197,732 1,098,866 549,433 1,648,300 824,150

More profiles

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