λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,464,720

29,464,720

24 × 5 × 97 × 3797
Abundant Even Composite

29,464,720 factors as 2^4 × 5 × 97 × 3797. Its 40 positive divisors give a proper-divisor sum of 39,765,224, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 97 × 3797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 69,229,944
Proper Divisor Sum 39,765,224
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #29464717 ← → #29464733

Radix Representation

Decimal 29464720
Binary 1110000011001100010010000 (25 bits)
Octal 0o160314220
Hexadecimal 0x1C19890

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1,552 1,940 3,797 3,880 7,594 7,760 15,188 18,985 30,376 37,970 60,752 75,940 151,880 303,760 368,309 736,618 1,473,236 1,841,545 2,946,472 3,683,090 5,892,944 7,366,180 14,732,360 29,464,720

Collatz Trajectory (131 steps to reach 1)

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

29,464,720 14,732,360 7,366,180 3,683,090 1,841,545 5,524,636 2,762,318 1,381,159 4,143,478 2,071,739 6,215,218 3,107,609 9,322,828 4,661,414 2,330,707 6,992,122 3,496,061 10,488,184 5,244,092 2,622,046 1,311,023 3,933,070 1,966,535 5,899,606 2,949,803 8,849,410 4,424,705 13,274,116 6,637,058 3,318,529 9,955,588 4,977,794 2,488,897 7,466,692 3,733,346 1,866,673 5,600,020 2,800,010 1,400,005 4,200,016 2,100,008 1,050,004 525,002 262,501 787,504 393,752 196,876 98,438 49,219 147,658 73,829 221,488 110,744 55,372 27,686 13,843 41,530 20,765 62,296 31,148

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #29,464,719 Browse Full Index Next Integer #29,464,721 →