λ
Integer Codex

4,051,788

22 × 3 × 13 × 19 × 1367
Abundant Even Composite

For 4,051,788, the 48 positive divisors have a total of 10,725,120. Removing 4,051,788 leaves 6,673,332, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 19 × 1367
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,725,120
Proper Divisor Sum 6,673,332
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4051781 ← → #4051813

Radix Representation

Decimal 4051788
Binary 1111011101001101001100 (22 bits)
Octal 0o17351514
Hexadecimal 0x3DD34C

Divisor Catalog (48)

1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1,367 1,482 2,734 2,964 4,101 5,468 8,202 16,404 17,771 25,973 35,542 51,946 53,313 71,084 77,919 103,892 106,626 155,838 213,252 311,676 337,649 675,298 1,012,947 1,350,596 2,025,894 4,051,788

Collatz Trajectory (110 steps to reach 1)

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

4,051,788 2,025,894 1,012,947 3,038,842 1,519,421 4,558,264 2,279,132 1,139,566 569,783 1,709,350 854,675 2,564,026 1,282,013 3,846,040 1,923,020 961,510 480,755 1,442,266 721,133 2,163,400 1,081,700 540,850 270,425 811,276 405,638 202,819 608,458 304,229 912,688 456,344 228,172 114,086 57,043 171,130 85,565 256,696 128,348 64,174 32,087 96,262 48,131 144,394 72,197 216,592 108,296 54,148 27,074 13,537 40,612 20,306 10,153 30,460 15,230 7,615 22,846 11,423 34,270 17,135 51,406 25,703

More profiles

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