42,936,729

3 × 11³ × 10753

42,936,729 factors as 3 × 11^3 × 10753. Its 16 positive divisors give a proper-divisor sum of 20,038,695, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 3 × 11^3 × 10753

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 62,975,424

Proper Divisor Sum 20,038,695

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #42936721 ← → #42936743

Radix Representation

Decimal	42936729
Binary	10100011110010100110011001 (26 bits)
Octal	0o243624631
Hexadecimal	0x28F2999

Divisor Catalog (16)

1 3 11 33 121 363 1,331 3,993 10,753 32,259 118,283 354,849 1,301,113 3,903,339 14,312,243 42,936,729

Collatz Trajectory (98 steps to reach 1)

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

42,936,729 128,810,188 64,405,094 32,202,547 96,607,642 48,303,821 144,911,464 72,455,732 36,227,866 18,113,933 54,341,800 27,170,900 13,585,450 6,792,725 20,378,176 10,189,088 5,094,544 2,547,272 1,273,636 636,818 318,409 955,228 477,614 238,807 716,422 358,211 1,074,634 537,317 1,611,952 805,976 402,988 201,494 100,747 302,242 151,121 453,364 226,682 113,341 340,024 170,012 85,006 42,503 127,510 63,755 191,266 95,633 286,900 143,450 71,725 215,176 107,588 53,794 26,897 80,692 40,346 20,173 60,520 30,260 15,130 7,565

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