17,280,220

2² × 5 × 864011

17,280,220 factors as 2^2 × 5 × 864011. Its 12 positive divisors give a proper-divisor sum of 19,008,284, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 864011

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 36,288,504

Proper Divisor Sum 19,008,284

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #17280209 ← → #17280227

Radix Representation

Decimal	17280220
Binary	1000001111010110011011100 (25 bits)
Octal	0o101726334
Hexadecimal	0x107ACDC

Divisor Catalog (12)

1 2 4 5 10 20 864,011 1,728,022 3,456,044 4,320,055 8,640,110 17,280,220

Collatz Trajectory (200 steps to reach 1)

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

17,280,220 8,640,110 4,320,055 12,960,166 6,480,083 19,440,250 9,720,125 29,160,376 14,580,188 7,290,094 3,645,047 10,935,142 5,467,571 16,402,714 8,201,357 24,604,072 12,302,036 6,151,018 3,075,509 9,226,528 4,613,264 2,306,632 1,153,316 576,658 288,329 864,988 432,494 216,247 648,742 324,371 973,114 486,557 1,459,672 729,836 364,918 182,459 547,378 273,689 821,068 410,534 205,267 615,802 307,901 923,704 461,852 230,926 115,463 346,390 173,195 519,586 259,793 779,380 389,690 194,845 584,536 292,268 146,134 73,067 219,202 109,601

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