λ
Ratio Atlas

5,105,893

13 × 392761
Deficient Odd Composite

5,105,893 factors as 13 × 392761. Its 4 positive divisors give a proper-divisor sum of 392,775, so this integer is deficient. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 13 × 392761
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,498,668
Proper Divisor Sum 392,775
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5105879 ← → #5105897

Radix Representation

Decimal 5105893
Binary 10011011110100011100101 (23 bits)
Octal 0o23364345
Hexadecimal 0x4DE8E5

Divisor Catalog (4)

1 13 392,761 5,105,893

Collatz Trajectory (82 steps to reach 1)

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

5,105,893 15,317,680 7,658,840 3,829,420 1,914,710 957,355 2,872,066 1,436,033 4,308,100 2,154,050 1,077,025 3,231,076 1,615,538 807,769 2,423,308 1,211,654 605,827 1,817,482 908,741 2,726,224 1,363,112 681,556 340,778 170,389 511,168 255,584 127,792 63,896 31,948 15,974 7,987 23,962 11,981 35,944 17,972 8,986 4,493 13,480 6,740 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152

More profiles

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