λ
Integer Codex

3,521,430

2 × 32 × 5 × 11 × 3557
Abundant Even Composite

For 3,521,430, the 48 positive divisors have a total of 9,990,864. Removing 3,521,430 leaves 6,469,434, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 11 × 3557
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,990,864
Proper Divisor Sum 6,469,434
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3521417 ← → #3521437

Radix Representation

Decimal 3521430
Binary 1101011011101110010110 (22 bits)
Octal 0o15335626
Hexadecimal 0x35BB96

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 3,557 7,114 10,671 17,785 21,342 32,013 35,570 39,127 53,355 64,026 78,254 106,710 117,381 160,065 195,635 234,762 320,130 352,143 391,270 586,905 704,286 1,173,810 1,760,715 3,521,430

Collatz Trajectory (190 steps to reach 1)

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

3,521,430 1,760,715 5,282,146 2,641,073 7,923,220 3,961,610 1,980,805 5,942,416 2,971,208 1,485,604 742,802 371,401 1,114,204 557,102 278,551 835,654 417,827 1,253,482 626,741 1,880,224 940,112 470,056 235,028 117,514 58,757 176,272 88,136 44,068 22,034 11,017 33,052 16,526 8,263 24,790 12,395 37,186 18,593 55,780 27,890 13,945 41,836 20,918 10,459 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788 14,894 7,447 22,342

More profiles

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