2,642,100

2² × 3 × 5² × 8807

2,642,100 is even and not a perfect square. Its factorization is 2^2 × 3 × 5^2 × 8807 and its 36 divisors sum to 7,645,344.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 8807

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 7,645,344

Proper Divisor Sum 5,003,244

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2642077 ← → #2642111

Radix Representation

Decimal	2642100
Binary	1010000101000010110100 (22 bits)
Octal	0o12050264
Hexadecimal	0x2850B4

Divisor Catalog (36)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 8,807 17,614 26,421 35,228 44,035 52,842 88,070 105,684 132,105 176,140 220,175 264,210 440,350 528,420 660,525 880,700 1,321,050 2,642,100

Collatz Trajectory (293 steps to reach 1)

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

2,642,100 1,321,050 660,525 1,981,576 990,788 495,394 247,697 743,092 371,546 185,773 557,320 278,660 139,330 69,665 208,996 104,498 52,249 156,748 78,374 39,187 117,562 58,781 176,344 88,172 44,086 22,043 66,130 33,065 99,196 49,598 24,799 74,398 37,199 111,598 55,799 167,398 83,699 251,098 125,549 376,648 188,324 94,162 47,081 141,244 70,622 35,311 105,934 52,967 158,902 79,451 238,354 119,177 357,532 178,766 89,383 268,150 134,075 402,226 201,113 603,340

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