1,352,175

3 × 5² × 11² × 149

1,352,175 has digital root 6. The neighboring primes are 1352171 and 1352191; its proper-divisor sum differs from the starting integer by -230,550.

Prime Factor Structure

Factorization String 3 × 5^2 × 11^2 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 2,473,800

Proper Divisor Sum 1,121,625

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1352171 ← → #1352191

Radix Representation

Decimal	1352175
Binary	101001010000111101111 (21 bits)
Octal	0o5120757
Hexadecimal	0x14A1EF

Divisor Catalog (36)

1 3 5 11 15 25 33 55 75 121 149 165 275 363 447 605 745 825 1,639 1,815 2,235 3,025 3,725 4,917 8,195 9,075 11,175 18,029 24,585 40,975 54,087 90,145 122,925 270,435 450,725 1,352,175

Collatz Trajectory (124 steps to reach 1)

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

1,352,175 4,056,526 2,028,263 6,084,790 3,042,395 9,127,186 4,563,593 13,690,780 6,845,390 3,422,695 10,268,086 5,134,043 15,402,130 7,701,065 23,103,196 11,551,598 5,775,799 17,327,398 8,663,699 25,991,098 12,995,549 38,986,648 19,493,324 9,746,662 4,873,331 14,619,994 7,309,997 21,929,992 10,964,996 5,482,498 2,741,249 8,223,748 4,111,874 2,055,937 6,167,812 3,083,906 1,541,953 4,625,860 2,312,930 1,156,465 3,469,396 1,734,698 867,349 2,602,048 1,301,024 650,512 325,256 162,628 81,314 40,657 121,972 60,986 30,493 91,480 45,740 22,870 11,435 34,306 17,153 51,460

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