λ
Harmonic Matrix

1,529,405

5 × 17 × 19 × 947
Deficient Odd Composite

1,529,405 has digital root 8. The neighboring primes are 1529401 and 1529413; its proper-divisor sum differs from the starting integer by -1,011,130.

Prime Factor Structure

Factorization String 5 × 17 × 19 × 947
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,047,680
Proper Divisor Sum 518,275
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1529401 ← → #1529413

Radix Representation

Decimal 1529405
Binary 101110101011000111101 (21 bits)
Octal 0o5653075
Hexadecimal 0x17563D

Divisor Catalog (16)

1 5 17 19 85 95 323 947 1,615 4,735 16,099 17,993 80,495 89,965 305,881 1,529,405

Collatz Trajectory (150 steps to reach 1)

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

1,529,405 4,588,216 2,294,108 1,147,054 573,527 1,720,582 860,291 2,580,874 1,290,437 3,871,312 1,935,656 967,828 483,914 241,957 725,872 362,936 181,468 90,734 45,367 136,102 68,051 204,154 102,077 306,232 153,116 76,558 38,279 114,838 57,419 172,258 86,129 258,388 129,194 64,597 193,792 96,896 48,448 24,224 12,112 6,056 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274

More profiles

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