λ
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Atlas › Integer Profiles › Node 2,654,505

2,654,505

33 × 5 × 7 × 532
Abundant Odd Composite

2,654,505 factors as 3^3 × 5 × 7 × 53^2. Its 48 positive divisors give a proper-divisor sum of 2,842,455, so this integer is abundant. The Collatz stopping time is 262 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 53^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,496,960
Proper Divisor Sum 2,842,455
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2654503 ← → #2654507

Radix Representation

Decimal 2654505
Binary 1010001000000100101001 (22 bits)
Octal 0o12100451
Hexadecimal 0x288129

Divisor Catalog (48)

1 3 5 7 9 15 21 27 35 45 53 63 105 135 159 189 265 315 371 477 795 945 1,113 1,431 1,855 2,385 2,809 3,339 5,565 7,155 8,427 10,017 14,045 16,695 19,663 25,281 42,135 50,085 58,989 75,843 98,315 126,405 176,967 294,945 379,215 530,901 884,835 2,654,505

Collatz Trajectory (262 steps to reach 1)

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

2,654,505 7,963,516 3,981,758 1,990,879 5,972,638 2,986,319 8,958,958 4,479,479 13,438,438 6,719,219 20,157,658 10,078,829 30,236,488 15,118,244 7,559,122 3,779,561 11,338,684 5,669,342 2,834,671 8,504,014 4,252,007 12,756,022 6,378,011 19,134,034 9,567,017 28,701,052 14,350,526 7,175,263 21,525,790 10,762,895 32,288,686 16,144,343 48,433,030 24,216,515 72,649,546 36,324,773 108,974,320 54,487,160 27,243,580 13,621,790 6,810,895 20,432,686 10,216,343 30,649,030 15,324,515 45,973,546 22,986,773 68,960,320 34,480,160 17,240,080 8,620,040 4,310,020 2,155,010 1,077,505 3,232,516 1,616,258 808,129 2,424,388 1,212,194 606,097

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