λ
Harmonic Matrix

9,284,245

5 × 41 × 45289
Deficient Odd Composite

9,284,245 has digital root 7. The neighboring primes are 9284243 and 9284267; its proper-divisor sum differs from the starting integer by -7,155,410.

Prime Factor Structure

Factorization String 5 × 41 × 45289
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,413,080
Proper Divisor Sum 2,128,835
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9284243 ← → #9284267

Radix Representation

Decimal 9284245
Binary 100011011010101010010101 (24 bits)
Octal 0o43325225
Hexadecimal 0x8DAA95

Divisor Catalog (8)

1 5 41 205 45,289 226,445 1,856,849 9,284,245

Collatz Trajectory (256 steps to reach 1)

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

9,284,245 27,852,736 13,926,368 6,963,184 3,481,592 1,740,796 870,398 435,199 1,305,598 652,799 1,958,398 979,199 2,937,598 1,468,799 4,406,398 2,203,199 6,609,598 3,304,799 9,914,398 4,957,199 14,871,598 7,435,799 22,307,398 11,153,699 33,461,098 16,730,549 50,191,648 25,095,824 12,547,912 6,273,956 3,136,978 1,568,489 4,705,468 2,352,734 1,176,367 3,529,102 1,764,551 5,293,654 2,646,827 7,940,482 3,970,241 11,910,724 5,955,362 2,977,681 8,933,044 4,466,522 2,233,261 6,699,784 3,349,892 1,674,946 837,473 2,512,420 1,256,210 628,105 1,884,316 942,158 471,079 1,413,238 706,619 2,119,858

More profiles

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