1,220,175

3² × 5² × 11 × 17 × 29

1,220,175 factors as 3^2 × 5^2 × 11 × 17 × 29. Its 72 positive divisors give a proper-divisor sum of 1,391,265, so this integer is abundant. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 11 × 17 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,611,440

Proper Divisor Sum 1,391,265

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1220171 ← → #1220203

Radix Representation

Decimal	1220175
Binary	100101001111001001111 (21 bits)
Octal	0o4517117
Hexadecimal	0x129E4F

Divisor Catalog (60 of 72)

1 3 5 9 11 15 17 25 29 33 45 51 55 75 85 87 99 145 153 165 187 225 255 261 275 319 425 435 493 495 561 725 765 825 935 957 1,275 1,305 1,479 1,595 1,683 2,175 2,465 2,475 2,805 2,871 3,825 4,437 4,675 4,785 5,423 6,525 7,395 7,975 8,415 12,325 14,025 14,355 16,269 22,185

Collatz Trajectory (59 steps to reach 1)

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

1,220,175 3,660,526 1,830,263 5,490,790 2,745,395 8,236,186 4,118,093 12,354,280 6,177,140 3,088,570 1,544,285 4,632,856 2,316,428 1,158,214 579,107 1,737,322 868,661 2,605,984 1,302,992 651,496 325,748 162,874 81,437 244,312 122,156 61,078 30,539 91,618 45,809 137,428 68,714 34,357 103,072 51,536 25,768 12,884 6,442 3,221 9,664 4,832 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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