λ
Harmonic Matrix

9,013,175

52 × 67 × 5381
Deficient Odd Composite

9,013,175 has digital root 8. The neighboring primes are 9013129 and 9013223; its proper-divisor sum differs from the starting integer by -6,681,094.

Prime Factor Structure

Factorization String 5^2 × 67 × 5381
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,345,256
Proper Divisor Sum 2,332,081
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9013129 ← → #9013223

Radix Representation

Decimal 9013175
Binary 100010011000011110110111 (24 bits)
Octal 0o42303667
Hexadecimal 0x8987B7

Divisor Catalog (12)

1 5 25 67 335 1,675 5,381 26,905 134,525 360,527 1,802,635 9,013,175

Collatz Trajectory (331 steps to reach 1)

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

9,013,175 27,039,526 13,519,763 40,559,290 20,279,645 60,838,936 30,419,468 15,209,734 7,604,867 22,814,602 11,407,301 34,221,904 17,110,952 8,555,476 4,277,738 2,138,869 6,416,608 3,208,304 1,604,152 802,076 401,038 200,519 601,558 300,779 902,338 451,169 1,353,508 676,754 338,377 1,015,132 507,566 253,783 761,350 380,675 1,142,026 571,013 1,713,040 856,520 428,260 214,130 107,065 321,196 160,598 80,299 240,898 120,449 361,348 180,674 90,337 271,012 135,506 67,753 203,260 101,630 50,815 152,446 76,223 228,670 114,335 343,006

More profiles

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