321,715

5 × 37² × 47

For 321,715, the 12 positive divisors have a total of 405,216. Removing 321,715 leaves 83,501, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 37^2 × 47

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 405,216

Proper Divisor Sum 83,501

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #321709 ← → #321721

Radix Representation

Decimal	321715
Binary	1001110100010110011 (19 bits)
Octal	0o1164263
Hexadecimal	0x4E8B3

Divisor Catalog (12)

1 5 37 47 185 235 1,369 1,739 6,845 8,695 64,343 321,715

Collatz Trajectory (70 steps to reach 1)

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

321,715 965,146 482,573 1,447,720 723,860 361,930 180,965 542,896 271,448 135,724 67,862 33,931 101,794 50,897 152,692 76,346 38,173 114,520 57,260 28,630 14,315 42,946 21,473 64,420 32,210 16,105 48,316 24,158 12,079 36,238 18,119 54,358 27,179 81,538 40,769 122,308 61,154 30,577 91,732 45,866 22,933 68,800 34,400 17,200 8,600 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341

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