1,304,205

3 × 5 × 7 × 12421

For 1,304,205, the 16 positive divisors have a total of 2,385,024. Removing 1,304,205 leaves 1,080,819, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 12421

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,385,024

Proper Divisor Sum 1,080,819

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #1304183 ← → #1304207

Radix Representation

Decimal	1304205
Binary	100111110011010001101 (21 bits)
Octal	0o4763215
Hexadecimal	0x13E68D

Divisor Catalog (16)

1 3 5 7 15 21 35 105 12,421 37,263 62,105 86,947 186,315 260,841 434,735 1,304,205

Collatz Trajectory (93 steps to reach 1)

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

1,304,205 3,912,616 1,956,308 978,154 489,077 1,467,232 733,616 366,808 183,404 91,702 45,851 137,554 68,777 206,332 103,166 51,583 154,750 77,375 232,126 116,063 348,190 174,095 522,286 261,143 783,430 391,715 1,175,146 587,573 1,762,720 881,360 440,680 220,340 110,170 55,085 165,256 82,628 41,314 20,657 61,972 30,986 15,493 46,480 23,240 11,620 5,810 2,905 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230

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