897,480

2³ × 3⁴ × 5 × 277

897,480 factors as 2^3 × 3^4 × 5 × 277. Its 80 positive divisors give a proper-divisor sum of 2,129,940, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 5 × 277

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 3,027,420

Proper Divisor Sum 2,129,940

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #897473 ← → #897497

Radix Representation

Decimal	897480
Binary	11011011000111001000 (20 bits)
Octal	0o3330710
Hexadecimal	0xDB1C8

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 277 324 360 405 540 554 648 810 831 1,080 1,108 1,385 1,620 1,662 2,216 2,493 2,770 3,240 3,324 4,155 4,986 5,540 6,648 7,479 8,310 9,972 11,080 12,465 14,958

Collatz Trajectory (188 steps to reach 1)

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

897,480 448,740 224,370 112,185 336,556 168,278 84,139 252,418 126,209 378,628 189,314 94,657 283,972 141,986 70,993 212,980 106,490 53,245 159,736 79,868 39,934 19,967 59,902 29,951 89,854 44,927 134,782 67,391 202,174 101,087 303,262 151,631 454,894 227,447 682,342 341,171 1,023,514 511,757 1,535,272 767,636 383,818 191,909 575,728 287,864 143,932 71,966 35,983 107,950 53,975 161,926 80,963 242,890 121,445 364,336 182,168 91,084 45,542 22,771 68,314 34,157

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