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5,221,575

32 × 52 × 23 × 1009
Deficient Odd Composite

5,221,575 factors as 3^2 × 5^2 × 23 × 1009. Its 36 positive divisors give a proper-divisor sum of 4,547,145, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 23 × 1009
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,768,720
Proper Divisor Sum 4,547,145
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5221549 ← → #5221577

Radix Representation

Decimal 5221575
Binary 10011111010110011000111 (23 bits)
Octal 0o23726307
Hexadecimal 0x4FACC7

Divisor Catalog (36)

1 3 5 9 15 23 25 45 69 75 115 207 225 345 575 1,009 1,035 1,725 3,027 5,045 5,175 9,081 15,135 23,207 25,225 45,405 69,621 75,675 116,035 208,863 227,025 348,105 580,175 1,044,315 1,740,525 5,221,575

Collatz Trajectory (201 steps to reach 1)

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

5,221,575 15,664,726 7,832,363 23,497,090 11,748,545 35,245,636 17,622,818 8,811,409 26,434,228 13,217,114 6,608,557 19,825,672 9,912,836 4,956,418 2,478,209 7,434,628 3,717,314 1,858,657 5,575,972 2,787,986 1,393,993 4,181,980 2,090,990 1,045,495 3,136,486 1,568,243 4,704,730 2,352,365 7,057,096 3,528,548 1,764,274 882,137 2,646,412 1,323,206 661,603 1,984,810 992,405 2,977,216 1,488,608 744,304 372,152 186,076 93,038 46,519 139,558 69,779 209,338 104,669 314,008 157,004 78,502 39,251 117,754 58,877 176,632 88,316 44,158 22,079 66,238 33,119

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