λ
Harmonic Matrix

9,488,721

3 × 11 × 287537
Deficient Odd Composite

9,488,721 has digital root 3. The neighboring primes are 9488711 and 9488779; its proper-divisor sum differs from the starting integer by -5,175,618.

Prime Factor Structure

Factorization String 3 × 11 × 287537
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,801,824
Proper Divisor Sum 4,313,103
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9488711 ← → #9488779

Radix Representation

Decimal 9488721
Binary 100100001100100101010001 (24 bits)
Octal 0o44144521
Hexadecimal 0x90C951

Divisor Catalog (8)

1 3 11 33 287,537 862,611 3,162,907 9,488,721

Collatz Trajectory (176 steps to reach 1)

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

9,488,721 28,466,164 14,233,082 7,116,541 21,349,624 10,674,812 5,337,406 2,668,703 8,006,110 4,003,055 12,009,166 6,004,583 18,013,750 9,006,875 27,020,626 13,510,313 40,530,940 20,265,470 10,132,735 30,398,206 15,199,103 45,597,310 22,798,655 68,395,966 34,197,983 102,593,950 51,296,975 153,890,926 76,945,463 230,836,390 115,418,195 346,254,586 173,127,293 519,381,880 259,690,940 129,845,470 64,922,735 194,768,206 97,384,103 292,152,310 146,076,155 438,228,466 219,114,233 657,342,700 328,671,350 164,335,675 493,007,026 246,503,513 739,510,540 369,755,270 184,877,635 554,632,906 277,316,453 831,949,360 415,974,680 207,987,340 103,993,670 51,996,835 155,990,506 77,995,253

More profiles

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