λ
Harmonic Matrix

2,524,437

32 × 179 × 1567
Deficient Odd Composite

2,524,437 has digital root 9. The neighboring primes are 2524429 and 2524439; its proper-divisor sum differs from the starting integer by -1,379,754.

Prime Factor Structure

Factorization String 3^2 × 179 × 1567
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,669,120
Proper Divisor Sum 1,144,683
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2524429 ← → #2524439

Radix Representation

Decimal 2524437
Binary 1001101000010100010101 (22 bits)
Octal 0o11502425
Hexadecimal 0x268515

Divisor Catalog (12)

1 3 9 179 537 1,567 1,611 4,701 14,103 280,493 841,479 2,524,437

Collatz Trajectory (68 steps to reach 1)

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

2,524,437 7,573,312 3,786,656 1,893,328 946,664 473,332 236,666 118,333 355,000 177,500 88,750 44,375 133,126 66,563 199,690 99,845 299,536 149,768 74,884 37,442 18,721 56,164 28,082 14,041 42,124 21,062 10,531 31,594 15,797 47,392 23,696 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13

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