29,626,424

2³ × 263 × 14081

29,626,424 factors as 2^3 × 263 × 14081. Its 16 positive divisors give a proper-divisor sum of 26,138,296, so this integer is deficient. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2^3 × 263 × 14081

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 55,764,720

Proper Divisor Sum 26,138,296

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #29626411 ← → #29626439

Radix Representation

Decimal	29626424
Binary	1110001000001000000111000 (25 bits)
Octal	0o161010070
Hexadecimal	0x1C41038

Divisor Catalog (16)

1 2 4 8 263 526 1,052 2,104 14,081 28,162 56,324 112,648 3,703,303 7,406,606 14,813,212 29,626,424

Collatz Trajectory (206 steps to reach 1)

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

29,626,424 14,813,212 7,406,606 3,703,303 11,109,910 5,554,955 16,664,866 8,332,433 24,997,300 12,498,650 6,249,325 18,747,976 9,373,988 4,686,994 2,343,497 7,030,492 3,515,246 1,757,623 5,272,870 2,636,435 7,909,306 3,954,653 11,863,960 5,931,980 2,965,990 1,482,995 4,448,986 2,224,493 6,673,480 3,336,740 1,668,370 834,185 2,502,556 1,251,278 625,639 1,876,918 938,459 2,815,378 1,407,689 4,223,068 2,111,534 1,055,767 3,167,302 1,583,651 4,750,954 2,375,477 7,126,432 3,563,216 1,781,608 890,804 445,402 222,701 668,104 334,052 167,026 83,513 250,540 125,270 62,635 187,906

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