9,936,268

2² × 41 × 43 × 1409

9,936,268 factors as 2^2 × 41 × 43 × 1409. Its 24 positive divisors give a proper-divisor sum of 8,303,492, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 41 × 43 × 1409

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,239,760

Proper Divisor Sum 8,303,492

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9936263 ← → #9936271

Radix Representation

Decimal	9936268
Binary	100101111001110110001100 (24 bits)
Octal	0o45716614
Hexadecimal	0x979D8C

Divisor Catalog (24)

1 2 4 41 43 82 86 164 172 1,409 1,763 2,818 3,526 5,636 7,052 57,769 60,587 115,538 121,174 231,076 242,348 2,484,067 4,968,134 9,936,268

Collatz Trajectory (145 steps to reach 1)

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

9,936,268 4,968,134 2,484,067 7,452,202 3,726,101 11,178,304 5,589,152 2,794,576 1,397,288 698,644 349,322 174,661 523,984 261,992 130,996 65,498 32,749 98,248 49,124 24,562 12,281 36,844 18,422 9,211 27,634 13,817 41,452 20,726 10,363 31,090 15,545 46,636 23,318 11,659 34,978 17,489 52,468 26,234 13,117 39,352 19,676 9,838 4,919 14,758 7,379 22,138 11,069 33,208 16,604 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510

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