972,730

2 × 5 × 11 × 37 × 239

972,730 has the prime decomposition 2 × 5 × 11 × 37 × 239. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 37 × 239

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,969,920

Proper Divisor Sum 997,190

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #972721 ← → #972787

Radix Representation

Decimal	972730
Binary	11101101011110111010 (20 bits)
Octal	0o3553672
Hexadecimal	0xED7BA

Divisor Catalog (32)

1 2 5 10 11 22 37 55 74 110 185 239 370 407 478 814 1,195 2,035 2,390 2,629 4,070 5,258 8,843 13,145 17,686 26,290 44,215 88,430 97,273 194,546 486,365 972,730

Collatz Trajectory (214 steps to reach 1)

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

972,730 486,365 1,459,096 729,548 364,774 182,387 547,162 273,581 820,744 410,372 205,186 102,593 307,780 153,890 76,945 230,836 115,418 57,709 173,128 86,564 43,282 21,641 64,924 32,462 16,231 48,694 24,347 73,042 36,521 109,564 54,782 27,391 82,174 41,087 123,262 61,631 184,894 92,447 277,342 138,671 416,014 208,007 624,022 312,011 936,034 468,017 1,404,052 702,026 351,013 1,053,040 526,520 263,260 131,630 65,815 197,446 98,723 296,170 148,085 444,256 222,128

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