3⁴ × 7 × 127

Prime Factor Structure

Factorization String 3^4 × 7 × 127

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 123,904

Proper Divisor Sum 51,895

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #71999 ← → #72019

1 3 7 9 21 27 63 81 127 189 381 567 889 1,143 2,667 3,429 8,001 10,287 24,003 72,009

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

72,009 216,028 108,014 54,007 162,022 81,011 243,034 121,517 364,552 182,276 91,138 45,569 136,708 68,354 34,177 102,532 51,266 25,633 76,900 38,450 19,225 57,676 28,838 14,419 43,258 21,629 64,888 32,444 16,222 8,111 24,334 12,167 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

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