1,109,025

3³ × 5² × 31 × 53

1,109,025 is odd and not a perfect square. Its factorization is 3^3 × 5^2 × 31 × 53 and its 48 divisors sum to 2,142,720.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 31 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,142,720

Proper Divisor Sum 1,033,695

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1109021 ← → #1109033

Radix Representation

Decimal	1109025
Binary	100001110110000100001 (21 bits)
Octal	0o4166041
Hexadecimal	0x10EC21

Divisor Catalog (48)

1 3 5 9 15 25 27 31 45 53 75 93 135 155 159 225 265 279 465 477 675 775 795 837 1,325 1,395 1,431 1,643 2,325 2,385 3,975 4,185 4,929 6,975 7,155 8,215 11,925 14,787 20,925 24,645 35,775 41,075 44,361 73,935 123,225 221,805 369,675 1,109,025

Collatz Trajectory (209 steps to reach 1)

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

1,109,025 3,327,076 1,663,538 831,769 2,495,308 1,247,654 623,827 1,871,482 935,741 2,807,224 1,403,612 701,806 350,903 1,052,710 526,355 1,579,066 789,533 2,368,600 1,184,300 592,150 296,075 888,226 444,113 1,332,340 666,170 333,085 999,256 499,628 249,814 124,907 374,722 187,361 562,084 281,042 140,521 421,564 210,782 105,391 316,174 158,087 474,262 237,131 711,394 355,697 1,067,092 533,546 266,773 800,320 400,160 200,080 100,040 50,020 25,010 12,505 37,516 18,758 9,379 28,138 14,069 42,208

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