1,305,100

2² × 5² × 31 × 421

1,305,100 has the prime decomposition 2^2 × 5^2 × 31 × 421. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 31 × 421

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 2,930,368

Proper Divisor Sum 1,625,268

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #1305097 ← → #1305121

Radix Representation

Decimal	1305100
Binary	100111110101000001100 (21 bits)
Octal	0o4765014
Hexadecimal	0x13EA0C

Divisor Catalog (36)

1 2 4 5 10 20 25 31 50 62 100 124 155 310 421 620 775 842 1,550 1,684 2,105 3,100 4,210 8,420 10,525 13,051 21,050 26,102 42,100 52,204 65,255 130,510 261,020 326,275 652,550 1,305,100

Collatz Trajectory (186 steps to reach 1)

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

1,305,100 652,550 326,275 978,826 489,413 1,468,240 734,120 367,060 183,530 91,765 275,296 137,648 68,824 34,412 17,206 8,603 25,810 12,905 38,716 19,358 9,679 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282

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