λ
Harmonic Matrix

3,529,529

109 × 32381
Deficient Odd Composite

3,529,529 has digital root 8. The neighboring primes are 3529499 and 3529543; its proper-divisor sum differs from the starting integer by -3,497,038.

Prime Factor Structure

Factorization String 109 × 32381
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,562,020
Proper Divisor Sum 32,491
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3529499 ← → #3529543

Radix Representation

Decimal 3529529
Binary 1101011101101100111001 (22 bits)
Octal 0o15355471
Hexadecimal 0x35DB39

Divisor Catalog (4)

1 109 32,381 3,529,529

Collatz Trajectory (296 steps to reach 1)

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

3,529,529 10,588,588 5,294,294 2,647,147 7,941,442 3,970,721 11,912,164 5,956,082 2,978,041 8,934,124 4,467,062 2,233,531 6,700,594 3,350,297 10,050,892 5,025,446 2,512,723 7,538,170 3,769,085 11,307,256 5,653,628 2,826,814 1,413,407 4,240,222 2,120,111 6,360,334 3,180,167 9,540,502 4,770,251 14,310,754 7,155,377 21,466,132 10,733,066 5,366,533 16,099,600 8,049,800 4,024,900 2,012,450 1,006,225 3,018,676 1,509,338 754,669 2,264,008 1,132,004 566,002 283,001 849,004 424,502 212,251 636,754 318,377 955,132 477,566 238,783 716,350 358,175 1,074,526 537,263 1,611,790 805,895

More profiles

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