λ
Sigma Notebook

9,187,305

3 × 5 × 79 × 7753
Deficient Odd Composite

9,187,305 is odd and not a perfect square. Its factorization is 3 × 5 × 79 × 7753 and its 16 divisors sum to 14,887,680.

Prime Factor Structure

Factorization String 3 × 5 × 79 × 7753
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,887,680
Proper Divisor Sum 5,700,375
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9187289 ← → #9187313

Radix Representation

Decimal 9187305
Binary 100011000010111111101001 (24 bits)
Octal 0o43027751
Hexadecimal 0x8C2FE9

Divisor Catalog (16)

1 3 5 15 79 237 395 1,185 7,753 23,259 38,765 116,295 612,487 1,837,461 3,062,435 9,187,305

Collatz Trajectory (106 steps to reach 1)

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

9,187,305 27,561,916 13,780,958 6,890,479 20,671,438 10,335,719 31,007,158 15,503,579 46,510,738 23,255,369 69,766,108 34,883,054 17,441,527 52,324,582 26,162,291 78,486,874 39,243,437 117,730,312 58,865,156 29,432,578 14,716,289 44,148,868 22,074,434 11,037,217 33,111,652 16,555,826 8,277,913 24,833,740 12,416,870 6,208,435 18,625,306 9,312,653 27,937,960 13,968,980 6,984,490 3,492,245 10,476,736 5,238,368 2,619,184 1,309,592 654,796 327,398 163,699 491,098 245,549 736,648 368,324 184,162 92,081 276,244 138,122 69,061 207,184 103,592 51,796 25,898 12,949 38,848 19,424 9,712

More profiles

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