972,282

2 × 3 × 131 × 1237

972,282 factors as 2 × 3 × 131 × 1237. Its 16 positive divisors give a proper-divisor sum of 988,710, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 3 × 131 × 1237

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,960,992

Proper Divisor Sum 988,710

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #972277 ← → #972313

Radix Representation

Decimal	972282
Binary	11101101010111111010 (20 bits)
Octal	0o3552772
Hexadecimal	0xED5FA

Divisor Catalog (16)

1 2 3 6 131 262 393 786 1,237 2,474 3,711 7,422 162,047 324,094 486,141 972,282

Collatz Trajectory (90 steps to reach 1)

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

972,282 486,141 1,458,424 729,212 364,606 182,303 546,910 273,455 820,366 410,183 1,230,550 615,275 1,845,826 922,913 2,768,740 1,384,370 692,185 2,076,556 1,038,278 519,139 1,557,418 778,709 2,336,128 1,168,064 584,032 292,016 146,008 73,004 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172

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