λ
Harmonic Matrix

5,604,824

23 × 23 × 83 × 367
Deficient Even Composite

5,604,824 has digital root 2. The neighboring primes are 5604817 and 5604827; its proper-divisor sum differs from the starting integer by -81,328.

Prime Factor Structure

Factorization String 2^3 × 23 × 83 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,128,320
Proper Divisor Sum 5,523,496
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5604817 ← → #5604827

Radix Representation

Decimal 5604824
Binary 10101011000010111011000 (23 bits)
Octal 0o25302730
Hexadecimal 0x5585D8

Divisor Catalog (32)

1 2 4 8 23 46 83 92 166 184 332 367 664 734 1,468 1,909 2,936 3,818 7,636 8,441 15,272 16,882 30,461 33,764 60,922 67,528 121,844 243,688 700,603 1,401,206 2,802,412 5,604,824

Collatz Trajectory (245 steps to reach 1)

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

5,604,824 2,802,412 1,401,206 700,603 2,101,810 1,050,905 3,152,716 1,576,358 788,179 2,364,538 1,182,269 3,546,808 1,773,404 886,702 443,351 1,330,054 665,027 1,995,082 997,541 2,992,624 1,496,312 748,156 374,078 187,039 561,118 280,559 841,678 420,839 1,262,518 631,259 1,893,778 946,889 2,840,668 1,420,334 710,167 2,130,502 1,065,251 3,195,754 1,597,877 4,793,632 2,396,816 1,198,408 599,204 299,602 149,801 449,404 224,702 112,351 337,054 168,527 505,582 252,791 758,374 379,187 1,137,562 568,781 1,706,344 853,172 426,586 213,293

More profiles

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