λ
Harmonic Matrix

9,725,185

5 × 523 × 3719
Deficient Odd Composite

9,725,185 has digital root 1. The neighboring primes are 9725171 and 9725197; its proper-divisor sum differs from the starting integer by -7,754,690.

Prime Factor Structure

Factorization String 5 × 523 × 3719
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,695,680
Proper Divisor Sum 1,970,495
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9725171 ← → #9725197

Radix Representation

Decimal 9725185
Binary 100101000110010100000001 (24 bits)
Octal 0o45062401
Hexadecimal 0x946501

Divisor Catalog (8)

1 5 523 2,615 3,719 18,595 1,945,037 9,725,185

Collatz Trajectory (114 steps to reach 1)

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

9,725,185 29,175,556 14,587,778 7,293,889 21,881,668 10,940,834 5,470,417 16,411,252 8,205,626 4,102,813 12,308,440 6,154,220 3,077,110 1,538,555 4,615,666 2,307,833 6,923,500 3,461,750 1,730,875 5,192,626 2,596,313 7,788,940 3,894,470 1,947,235 5,841,706 2,920,853 8,762,560 4,381,280 2,190,640 1,095,320 547,660 273,830 136,915 410,746 205,373 616,120 308,060 154,030 77,015 231,046 115,523 346,570 173,285 519,856 259,928 129,964 64,982 32,491 97,474 48,737 146,212 73,106 36,553 109,660 54,830 27,415 82,246 41,123 123,370 61,685

More profiles

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