42,774,736

2⁴ × 337 × 7933

42,774,736 factors as 2^4 × 337 × 7933. Its 20 positive divisors give a proper-divisor sum of 40,357,716, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^4 × 337 × 7933

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 83,132,452

Proper Divisor Sum 40,357,716

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #42774727 ← → #42774773

Radix Representation

Decimal	42774736
Binary	10100011001011000011010000 (26 bits)
Octal	0o243130320
Hexadecimal	0x28CB0D0

Divisor Catalog (20)

Collatz Trajectory (121 steps to reach 1)

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

42,774,736 21,387,368 10,693,684 5,346,842 2,673,421 8,020,264 4,010,132 2,005,066 1,002,533 3,007,600 1,503,800 751,900 375,950 187,975 563,926 281,963 845,890 422,945 1,268,836 634,418 317,209 951,628 475,814 237,907 713,722 356,861 1,070,584 535,292 267,646 133,823 401,470 200,735 602,206 301,103 903,310 451,655 1,354,966 677,483 2,032,450 1,016,225 3,048,676 1,524,338 762,169 2,286,508 1,143,254 571,627 1,714,882 857,441 2,572,324 1,286,162 643,081 1,929,244 964,622 482,311 1,446,934 723,467 2,170,402 1,085,201 3,255,604 1,627,802

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