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Atlas › Integer Profiles › Node 29,918,655

29,918,655

32 × 5 × 13 × 199 × 257
Deficient Odd Composite

29,918,655 factors as 3^2 × 5 × 13 × 199 × 257. Its 48 positive divisors give a proper-divisor sum of 26,428,545, so this integer is deficient. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 199 × 257
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 56,347,200
Proper Divisor Sum 26,428,545
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #29918641 ← → #29918663

Radix Representation

Decimal 29918655
Binary 1110010001000010110111111 (25 bits)
Octal 0o162102677
Hexadecimal 0x1C885BF

Divisor Catalog (48)

1 3 5 9 13 15 39 45 65 117 195 199 257 585 597 771 995 1,285 1,791 2,313 2,587 2,985 3,341 3,855 7,761 8,955 10,023 11,565 12,935 16,705 23,283 30,069 38,805 50,115 51,143 116,415 150,345 153,429 255,715 460,287 664,859 767,145 1,994,577 2,301,435 3,324,295 5,983,731 9,972,885 29,918,655

Collatz Trajectory (206 steps to reach 1)

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

29,918,655 89,755,966 44,877,983 134,633,950 67,316,975 201,950,926 100,975,463 302,926,390 151,463,195 454,389,586 227,194,793 681,584,380 340,792,190 170,396,095 511,188,286 255,594,143 766,782,430 383,391,215 1,150,173,646 575,086,823 1,725,260,470 862,630,235 2,587,890,706 1,293,945,353 3,881,836,060 1,940,918,030 970,459,015 2,911,377,046 1,455,688,523 4,367,065,570 2,183,532,785 6,550,598,356 3,275,299,178 1,637,649,589 4,912,948,768 2,456,474,384 1,228,237,192 614,118,596 307,059,298 153,529,649 460,588,948 230,294,474 115,147,237 345,441,712 172,720,856 86,360,428 43,180,214 21,590,107 64,770,322 32,385,161 97,155,484 48,577,742 24,288,871 72,866,614 36,433,307 109,299,922 54,649,961 163,949,884 81,974,942 40,987,471

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