λ
Harmonic Matrix

1,046,125

53 × 8369
Deficient Odd Composite

1,046,125 has digital root 1. The neighboring primes are 1046119 and 1046179; its proper-divisor sum differs from the starting integer by -786,530.

Prime Factor Structure

Factorization String 5^3 × 8369
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,305,720
Proper Divisor Sum 259,595
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1046119 ← → #1046179

Radix Representation

Decimal 1046125
Binary 11111111011001101101 (20 bits)
Octal 0o3773155
Hexadecimal 0xFF66D

Divisor Catalog (8)

1 5 25 125 8,369 41,845 209,225 1,046,125

Collatz Trajectory (134 steps to reach 1)

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

1,046,125 3,138,376 1,569,188 784,594 392,297 1,176,892 588,446 294,223 882,670 441,335 1,324,006 662,003 1,986,010 993,005 2,979,016 1,489,508 744,754 372,377 1,117,132 558,566 279,283 837,850 418,925 1,256,776 628,388 314,194 157,097 471,292 235,646 117,823 353,470 176,735 530,206 265,103 795,310 397,655 1,192,966 596,483 1,789,450 894,725 2,684,176 1,342,088 671,044 335,522 167,761 503,284 251,642 125,821 377,464 188,732 94,366 47,183 141,550 70,775 212,326 106,163 318,490 159,245 477,736 238,868

More profiles

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