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Atlas › Integer Profiles › Node 2,115,450

2,115,450

2 × 33 × 52 × 1567
Abundant Even Composite

2,115,450 factors as 2 × 3^3 × 5^2 × 1567. Its 48 positive divisors give a proper-divisor sum of 3,717,510, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5^2 × 1567
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,832,960
Proper Divisor Sum 3,717,510
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2115437 ← → #2115457

Radix Representation

Decimal 2115450
Binary 1000000100011101111010 (22 bits)
Octal 0o10043572
Hexadecimal 0x20477A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1,350 1,567 3,134 4,701 7,835 9,402 14,103 15,670 23,505 28,206 39,175 42,309 47,010 70,515 78,350 84,618 117,525 141,030 211,545 235,050 352,575 423,090 705,150 1,057,725 2,115,450

Collatz Trajectory (179 steps to reach 1)

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

2,115,450 1,057,725 3,173,176 1,586,588 793,294 396,647 1,189,942 594,971 1,784,914 892,457 2,677,372 1,338,686 669,343 2,008,030 1,004,015 3,012,046 1,506,023 4,518,070 2,259,035 6,777,106 3,388,553 10,165,660 5,082,830 2,541,415 7,624,246 3,812,123 11,436,370 5,718,185 17,154,556 8,577,278 4,288,639 12,865,918 6,432,959 19,298,878 9,649,439 28,948,318 14,474,159 43,422,478 21,711,239 65,133,718 32,566,859 97,700,578 48,850,289 146,550,868 73,275,434 36,637,717 109,913,152 54,956,576 27,478,288 13,739,144 6,869,572 3,434,786 1,717,393 5,152,180 2,576,090 1,288,045 3,864,136 1,932,068 966,034 483,017

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