11,645,375

5³ × 7 × 13309

11,645,375 factors as 5^3 × 7 × 13309. Its 16 positive divisors give a proper-divisor sum of 4,965,505, so this integer is deficient. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 5^3 × 7 × 13309

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,610,880

Proper Divisor Sum 4,965,505

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #11645371 ← → #11645407

Radix Representation

Decimal	11645375
Binary	101100011011000110111111 (24 bits)
Octal	0o54330677
Hexadecimal	0xB1B1BF

Divisor Catalog (16)

1 5 7 25 35 125 175 875 13,309 66,545 93,163 332,725 465,815 1,663,625 2,329,075 11,645,375

Collatz Trajectory (153 steps to reach 1)

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

11,645,375 34,936,126 17,468,063 52,404,190 26,202,095 78,606,286 39,303,143 117,909,430 58,954,715 176,864,146 88,432,073 265,296,220 132,648,110 66,324,055 198,972,166 99,486,083 298,458,250 149,229,125 447,687,376 223,843,688 111,921,844 55,960,922 27,980,461 83,941,384 41,970,692 20,985,346 10,492,673 31,478,020 15,739,010 7,869,505 23,608,516 11,804,258 5,902,129 17,706,388 8,853,194 4,426,597 13,279,792 6,639,896 3,319,948 1,659,974 829,987 2,489,962 1,244,981 3,734,944 1,867,472 933,736 466,868 233,434 116,717 350,152 175,076 87,538 43,769 131,308 65,654 32,827 98,482 49,241 147,724 73,862

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