λ
Integer Codex

7,138,794

2 × 3 × 13 × 19 × 4817
Abundant Even Composite

For 7,138,794, the 32 positive divisors have a total of 16,188,480. Removing 7,138,794 leaves 9,049,686, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 19 × 4817
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,188,480
Proper Divisor Sum 9,049,686
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7138787 ← → #7138799

Radix Representation

Decimal 7138794
Binary 11011001110110111101010 (23 bits)
Octal 0o33166752
Hexadecimal 0x6CEDEA

Divisor Catalog (32)

1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1,482 4,817 9,634 14,451 28,902 62,621 91,523 125,242 183,046 187,863 274,569 375,726 549,138 1,189,799 2,379,598 3,569,397 7,138,794

Collatz Trajectory (72 steps to reach 1)

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

7,138,794 3,569,397 10,708,192 5,354,096 2,677,048 1,338,524 669,262 334,631 1,003,894 501,947 1,505,842 752,921 2,258,764 1,129,382 564,691 1,694,074 847,037 2,541,112 1,270,556 635,278 317,639 952,918 476,459 1,429,378 714,689 2,144,068 1,072,034 536,017 1,608,052 804,026 402,013 1,206,040 603,020 301,510 150,755 452,266 226,133 678,400 339,200 169,600 84,800 42,400 21,200 10,600 5,300 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35

More profiles

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