3,620,100

2² × 3 × 5² × 11 × 1097

3,620,100 factors as 2^2 × 3 × 5^2 × 11 × 1097. Its 72 positive divisors give a proper-divisor sum of 7,816,668, so this integer is abundant. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 11 × 1097

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 11,436,768

Proper Divisor Sum 7,816,668

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #3620093 ← → #3620119

Radix Representation

Decimal	3620100
Binary	1101110011110100000100 (22 bits)
Octal	0o15636404
Hexadecimal	0x373D04

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1,097 1,100 1,650 2,194 3,291 3,300 4,388 5,485 6,582 10,970 12,067 13,164 16,455 21,940 24,134 27,425 32,910 36,201 48,268 54,850 60,335 65,820 72,402 82,275 109,700 120,670 144,804

Collatz Trajectory (234 steps to reach 1)

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

3,620,100 1,810,050 905,025 2,715,076 1,357,538 678,769 2,036,308 1,018,154 509,077 1,527,232 763,616 381,808 190,904 95,452 47,726 23,863 71,590 35,795 107,386 53,693 161,080 80,540 40,270 20,135 60,406 30,203 90,610 45,305 135,916 67,958 33,979 101,938 50,969 152,908 76,454 38,227 114,682 57,341 172,024 86,012 43,006 21,503 64,510 32,255 96,766 48,383 145,150 72,575 217,726 108,863 326,590 163,295 489,886 244,943 734,830 367,415 1,102,246 551,123 1,653,370 826,685

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