λ
Integer Codex

5,424,210

2 × 32 × 5 × 11 × 5479
Abundant Even Composite

For 5,424,210, the 48 positive divisors have a total of 15,387,840. Removing 5,424,210 leaves 9,963,630, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 11 × 5479
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,387,840
Proper Divisor Sum 9,963,630
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5424203 ← → #5424217

Radix Representation

Decimal 5424210
Binary 10100101100010001010010 (23 bits)
Octal 0o24542122
Hexadecimal 0x52C452

Divisor Catalog (48)

1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 5,479 10,958 16,437 27,395 32,874 49,311 54,790 60,269 82,185 98,622 120,538 164,370 180,807 246,555 301,345 361,614 493,110 542,421 602,690 904,035 1,084,842 1,808,070 2,712,105 5,424,210

Collatz Trajectory (139 steps to reach 1)

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

5,424,210 2,712,105 8,136,316 4,068,158 2,034,079 6,102,238 3,051,119 9,153,358 4,576,679 13,730,038 6,865,019 20,595,058 10,297,529 30,892,588 15,446,294 7,723,147 23,169,442 11,584,721 34,754,164 17,377,082 8,688,541 26,065,624 13,032,812 6,516,406 3,258,203 9,774,610 4,887,305 14,661,916 7,330,958 3,665,479 10,996,438 5,498,219 16,494,658 8,247,329 24,741,988 12,370,994 6,185,497 18,556,492 9,278,246 4,639,123 13,917,370 6,958,685 20,876,056 10,438,028 5,219,014 2,609,507 7,828,522 3,914,261 11,742,784 5,871,392 2,935,696 1,467,848 733,924 366,962 183,481 550,444 275,222 137,611 412,834 206,417

More profiles

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