λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,414,752

29,414,752

25 × 43 × 21377
Abundant Even Composite

29,414,752 factors as 2^5 × 43 × 21377. Its 24 positive divisors give a proper-divisor sum of 29,845,064, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^5 × 43 × 21377
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 59,259,816
Proper Divisor Sum 29,845,064
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #29414699 ← → #29414771

Radix Representation

Decimal 29414752
Binary 1110000001101010101100000 (25 bits)
Octal 0o160152540
Hexadecimal 0x1C0D560

Divisor Catalog (24)

1 2 4 8 16 32 43 86 172 344 688 1,376 21,377 42,754 85,508 171,016 342,032 684,064 919,211 1,838,422 3,676,844 7,353,688 14,707,376 29,414,752

Collatz Trajectory (175 steps to reach 1)

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

29,414,752 14,707,376 7,353,688 3,676,844 1,838,422 919,211 2,757,634 1,378,817 4,136,452 2,068,226 1,034,113 3,102,340 1,551,170 775,585 2,326,756 1,163,378 581,689 1,745,068 872,534 436,267 1,308,802 654,401 1,963,204 981,602 490,801 1,472,404 736,202 368,101 1,104,304 552,152 276,076 138,038 69,019 207,058 103,529 310,588 155,294 77,647 232,942 116,471 349,414 174,707 524,122 262,061 786,184 393,092 196,546 98,273 294,820 147,410 73,705 221,116 110,558 55,279 165,838 82,919 248,758 124,379 373,138 186,569

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #29,414,751 Browse Full Index Next Integer #29,414,753 →