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Atlas › Integer Profiles › Node 49,147,488

49,147,488

25 × 32 × 13 × 13127
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 13 × 13127
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 150,525,648
Proper Divisor Sum 101,378,160
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #49147463 ← → #49147529

Radix Representation

Decimal 49147488
Binary 10111011011110111001100000 (26 bits)
Octal 0o273367140
Hexadecimal 0x2EDEE60

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1,248 1,872 3,744 13,127 26,254 39,381 52,508 78,762 105,016 118,143 157,524 170,651 210,032 236,286 315,048 341,302 420,064 472,572 511,953 630,096 682,604 945,144 1,023,906 1,260,192 1,365,208 1,535,859 1,890,288

Collatz Trajectory (261 steps to reach 1)

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

49,147,488 24,573,744 12,286,872 6,143,436 3,071,718 1,535,859 4,607,578 2,303,789 6,911,368 3,455,684 1,727,842 863,921 2,591,764 1,295,882 647,941 1,943,824 971,912 485,956 242,978 121,489 364,468 182,234 91,117 273,352 136,676 68,338 34,169 102,508 51,254 25,627 76,882 38,441 115,324 57,662 28,831 86,494 43,247 129,742 64,871 194,614 97,307 291,922 145,961 437,884 218,942 109,471 328,414 164,207 492,622 246,311 738,934 369,467 1,108,402 554,201 1,662,604 831,302 415,651 1,246,954 623,477 1,870,432

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