λ
Integer Codex

9,685,247

11 × 13 × 89 × 761
Deficient Odd Composite

For 9,685,247, the 16 positive divisors have a total of 11,521,440. Removing 9,685,247 leaves 1,836,193, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 13 × 89 × 761
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,521,440
Proper Divisor Sum 1,836,193
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9685241 ← → #9685259

Radix Representation

Decimal 9685247
Binary 100100111100100011111111 (24 bits)
Octal 0o44744377
Hexadecimal 0x93C8FF

Divisor Catalog (16)

1 11 13 89 143 761 979 1,157 8,371 9,893 12,727 67,729 108,823 745,019 880,477 9,685,247

Collatz Trajectory (119 steps to reach 1)

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

9,685,247 29,055,742 14,527,871 43,583,614 21,791,807 65,375,422 32,687,711 98,063,134 49,031,567 147,094,702 73,547,351 220,642,054 110,321,027 330,963,082 165,481,541 496,444,624 248,222,312 124,111,156 62,055,578 31,027,789 93,083,368 46,541,684 23,270,842 11,635,421 34,906,264 17,453,132 8,726,566 4,363,283 13,089,850 6,544,925 19,634,776 9,817,388 4,908,694 2,454,347 7,363,042 3,681,521 11,044,564 5,522,282 2,761,141 8,283,424 4,141,712 2,070,856 1,035,428 517,714 258,857 776,572 388,286 194,143 582,430 291,215 873,646 436,823 1,310,470 655,235 1,965,706 982,853 2,948,560 1,474,280 737,140 368,570

More profiles

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