λ
Matchaa Zalai

4,178,729

4178729
Deficient Odd Prime

4,178,729 factors as 4178729. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 4178729
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,178,730
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4178717 ← → #4178737

Radix Representation

Decimal 4178729
Binary 1111111100001100101001 (22 bits)
Octal 0o17741451
Hexadecimal 0x3FC329

Divisor Catalog (2)

Collatz Trajectory (185 steps to reach 1)

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

4,178,729 12,536,188 6,268,094 3,134,047 9,402,142 4,701,071 14,103,214 7,051,607 21,154,822 10,577,411 31,732,234 15,866,117 47,598,352 23,799,176 11,899,588 5,949,794 2,974,897 8,924,692 4,462,346 2,231,173 6,693,520 3,346,760 1,673,380 836,690 418,345 1,255,036 627,518 313,759 941,278 470,639 1,411,918 705,959 2,117,878 1,058,939 3,176,818 1,588,409 4,765,228 2,382,614 1,191,307 3,573,922 1,786,961 5,360,884 2,680,442 1,340,221 4,020,664 2,010,332 1,005,166 502,583 1,507,750 753,875 2,261,626 1,130,813 3,392,440 1,696,220 848,110 424,055 1,272,166 636,083 1,908,250 954,125

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