29,472,680

2³ × 5 × 736817

29,472,680 factors as 2^3 × 5 × 736817. Its 16 positive divisors give a proper-divisor sum of 36,840,940, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 736817

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 66,313,620

Proper Divisor Sum 36,840,940

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #29472659 ← → #29472721

Radix Representation

Decimal	29472680
Binary	1110000011011011110101000 (25 bits)
Octal	0o160333650
Hexadecimal	0x1C1B7A8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 736,817 1,473,634 2,947,268 3,684,085 5,894,536 7,368,170 14,736,340 29,472,680

Collatz Trajectory (144 steps to reach 1)

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

29,472,680 14,736,340 7,368,170 3,684,085 11,052,256 5,526,128 2,763,064 1,381,532 690,766 345,383 1,036,150 518,075 1,554,226 777,113 2,331,340 1,165,670 582,835 1,748,506 874,253 2,622,760 1,311,380 655,690 327,845 983,536 491,768 245,884 122,942 61,471 184,414 92,207 276,622 138,311 414,934 207,467 622,402 311,201 933,604 466,802 233,401 700,204 350,102 175,051 525,154 262,577 787,732 393,866 196,933 590,800 295,400 147,700 73,850 36,925 110,776 55,388 27,694 13,847 41,542 20,771 62,314 31,157

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