λ
Harmonic Matrix

2,523,732

22 × 3 × 19 × 11069
Abundant Even Composite

2,523,732 has digital root 6. The neighboring primes are 2523727 and 2523739; its proper-divisor sum differs from the starting integer by 1,151,736.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 11069
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,199,200
Proper Divisor Sum 3,675,468
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2523727 ← → #2523739

Radix Representation

Decimal 2523732
Binary 1001101000001001010100 (22 bits)
Octal 0o11501124
Hexadecimal 0x268254

Divisor Catalog (24)

1 2 3 4 6 12 19 38 57 76 114 228 11,069 22,138 33,207 44,276 66,414 132,828 210,311 420,622 630,933 841,244 1,261,866 2,523,732

Collatz Trajectory (68 steps to reach 1)

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

2,523,732 1,261,866 630,933 1,892,800 946,400 473,200 236,600 118,300 59,150 29,575 88,726 44,363 133,090 66,545 199,636 99,818 49,909 149,728 74,864 37,432 18,716 9,358 4,679 14,038 7,019 21,058 10,529 31,588 15,794 7,897 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13

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