10,409,366

2 × 11 × 31 × 15263

10,409,366 factors as 2 × 11 × 31 × 15263. Its 16 positive divisors give a proper-divisor sum of 7,174,762, so this integer is deficient. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2 × 11 × 31 × 15263

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,584,128

Proper Divisor Sum 7,174,762

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #10409339 ← → #10409369

Radix Representation

Decimal	10409366
Binary	100111101101010110010110 (24 bits)
Octal	0o47552626
Hexadecimal	0x9ED596

Divisor Catalog (16)

1 2 11 22 31 62 341 682 15,263 30,526 167,893 335,786 473,153 946,306 5,204,683 10,409,366

Collatz Trajectory (127 steps to reach 1)

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

10,409,366 5,204,683 15,614,050 7,807,025 23,421,076 11,710,538 5,855,269 17,565,808 8,782,904 4,391,452 2,195,726 1,097,863 3,293,590 1,646,795 4,940,386 2,470,193 7,410,580 3,705,290 1,852,645 5,557,936 2,778,968 1,389,484 694,742 347,371 1,042,114 521,057 1,563,172 781,586 390,793 1,172,380 586,190 293,095 879,286 439,643 1,318,930 659,465 1,978,396 989,198 494,599 1,483,798 741,899 2,225,698 1,112,849 3,338,548 1,669,274 834,637 2,503,912 1,251,956 625,978 312,989 938,968 469,484 234,742 117,371 352,114 176,057 528,172 264,086 132,043 396,130

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