29,520,261

3³ × 127 × 8609

29,520,261 factors as 3^3 × 127 × 8609. Its 16 positive divisors give a proper-divisor sum of 14,562,939, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 3^3 × 127 × 8609

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 44,083,200

Proper Divisor Sum 14,562,939

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #29520229 ← → #29520263

Radix Representation

Decimal	29520261
Binary	1110000100111000110000101 (25 bits)
Octal	0o160470605
Hexadecimal	0x1C27185

Divisor Catalog (16)

1 3 9 27 127 381 1,143 3,429 8,609 25,827 77,481 232,443 1,093,343 3,280,029 9,840,087 29,520,261

Collatz Trajectory (144 steps to reach 1)

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

29,520,261 88,560,784 44,280,392 22,140,196 11,070,098 5,535,049 16,605,148 8,302,574 4,151,287 12,453,862 6,226,931 18,680,794 9,340,397 28,021,192 14,010,596 7,005,298 3,502,649 10,507,948 5,253,974 2,626,987 7,880,962 3,940,481 11,821,444 5,910,722 2,955,361 8,866,084 4,433,042 2,216,521 6,649,564 3,324,782 1,662,391 4,987,174 2,493,587 7,480,762 3,740,381 11,221,144 5,610,572 2,805,286 1,402,643 4,207,930 2,103,965 6,311,896 3,155,948 1,577,974 788,987 2,366,962 1,183,481 3,550,444 1,775,222 887,611 2,662,834 1,331,417 3,994,252 1,997,126 998,563 2,995,690 1,497,845 4,493,536 2,246,768 1,123,384

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