λ
Harmonic Matrix

9,580,315

5 × 239 × 8017
Deficient Odd Composite

9,580,315 has digital root 4. The neighboring primes are 9580309 and 9580331; its proper-divisor sum differs from the starting integer by -7,614,710.

Prime Factor Structure

Factorization String 5 × 239 × 8017
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,545,920
Proper Divisor Sum 1,965,605
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9580309 ← → #9580331

Radix Representation

Decimal 9580315
Binary 100100100010111100011011 (24 bits)
Octal 0o44427433
Hexadecimal 0x922F1B

Divisor Catalog (8)

1 5 239 1,195 8,017 40,085 1,916,063 9,580,315

Collatz Trajectory (145 steps to reach 1)

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

9,580,315 28,740,946 14,370,473 43,111,420 21,555,710 10,777,855 32,333,566 16,166,783 48,500,350 24,250,175 72,750,526 36,375,263 109,125,790 54,562,895 163,688,686 81,844,343 245,533,030 122,766,515 368,299,546 184,149,773 552,449,320 276,224,660 138,112,330 69,056,165 207,168,496 103,584,248 51,792,124 25,896,062 12,948,031 38,844,094 19,422,047 58,266,142 29,133,071 87,399,214 43,699,607 131,098,822 65,549,411 196,648,234 98,324,117 294,972,352 147,486,176 73,743,088 36,871,544 18,435,772 9,217,886 4,608,943 13,826,830 6,913,415 20,740,246 10,370,123 31,110,370 15,555,185 46,665,556 23,332,778 11,666,389 34,999,168 17,499,584 8,749,792 4,374,896 2,187,448

More profiles

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