λ
Harmonic Matrix

9,248,927

37 × 249971
Deficient Odd Composite

9,248,927 has digital root 5. The neighboring primes are 9248893 and 9248929; its proper-divisor sum differs from the starting integer by -8,998,918.

Prime Factor Structure

Factorization String 37 × 249971
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,498,936
Proper Divisor Sum 250,009
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9248893 ← → #9248929

Radix Representation

Decimal 9248927
Binary 100011010010000010011111 (24 bits)
Octal 0o43220237
Hexadecimal 0x8D209F

Divisor Catalog (4)

Collatz Trajectory (181 steps to reach 1)

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

9,248,927 27,746,782 13,873,391 41,620,174 20,810,087 62,430,262 31,215,131 93,645,394 46,822,697 140,468,092 70,234,046 35,117,023 105,351,070 52,675,535 158,026,606 79,013,303 237,039,910 118,519,955 355,559,866 177,779,933 533,339,800 266,669,900 133,334,950 66,667,475 200,002,426 100,001,213 300,003,640 150,001,820 75,000,910 37,500,455 112,501,366 56,250,683 168,752,050 84,376,025 253,128,076 126,564,038 63,282,019 189,846,058 94,923,029 284,769,088 142,384,544 71,192,272 35,596,136 17,798,068 8,899,034 4,449,517 13,348,552 6,674,276 3,337,138 1,668,569 5,005,708 2,502,854 1,251,427 3,754,282 1,877,141 5,631,424 2,815,712 1,407,856 703,928 351,964

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