λ
Integer Codex

2,753,004

22 × 3 × 383 × 599
Abundant Even Composite

For 2,753,004, the 24 positive divisors have a total of 6,451,200. Removing 2,753,004 leaves 3,698,196, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 383 × 599
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,451,200
Proper Divisor Sum 3,698,196
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2752993 ← → #2753029

Radix Representation

Decimal 2753004
Binary 1010100000000111101100 (22 bits)
Octal 0o12400754
Hexadecimal 0x2A01EC

Divisor Catalog (24)

1 2 3 4 6 12 383 599 766 1,149 1,198 1,532 1,797 2,298 2,396 3,594 4,596 7,188 229,417 458,834 688,251 917,668 1,376,502 2,753,004

Collatz Trajectory (187 steps to reach 1)

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

2,753,004 1,376,502 688,251 2,064,754 1,032,377 3,097,132 1,548,566 774,283 2,322,850 1,161,425 3,484,276 1,742,138 871,069 2,613,208 1,306,604 653,302 326,651 979,954 489,977 1,469,932 734,966 367,483 1,102,450 551,225 1,653,676 826,838 413,419 1,240,258 620,129 1,860,388 930,194 465,097 1,395,292 697,646 348,823 1,046,470 523,235 1,569,706 784,853 2,354,560 1,177,280 588,640 294,320 147,160 73,580 36,790 18,395 55,186 27,593 82,780 41,390 20,695 62,086 31,043 93,130 46,565 139,696 69,848 34,924 17,462

More profiles

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