λ
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Atlas › Integer Profiles › Node 73,080,245

73,080,245

5 × 7 × 41 × 127 × 401
Deficient Odd Composite

73,080,245 factors as 5 × 7 × 41 × 127 × 401. Its 32 positive divisors give a proper-divisor sum of 30,655,051, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 5 × 7 × 41 × 127 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 103,735,296
Proper Divisor Sum 30,655,051
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #73080233 ← → #73080247

Radix Representation

Decimal 73080245
Binary 100010110110001110110110101 (27 bits)
Octal 0o426616665
Hexadecimal 0x45B1DB5

Divisor Catalog (32)

1 5 7 35 41 127 205 287 401 635 889 1,435 2,005 2,807 4,445 5,207 14,035 16,441 26,035 36,449 50,927 82,205 115,087 182,245 254,635 356,489 575,435 1,782,445 2,088,007 10,440,035 14,616,049 73,080,245

Collatz Trajectory (135 steps to reach 1)

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

73,080,245 219,240,736 109,620,368 54,810,184 27,405,092 13,702,546 6,851,273 20,553,820 10,276,910 5,138,455 15,415,366 7,707,683 23,123,050 11,561,525 34,684,576 17,342,288 8,671,144 4,335,572 2,167,786 1,083,893 3,251,680 1,625,840 812,920 406,460 203,230 101,615 304,846 152,423 457,270 228,635 685,906 342,953 1,028,860 514,430 257,215 771,646 385,823 1,157,470 578,735 1,736,206 868,103 2,604,310 1,302,155 3,906,466 1,953,233 5,859,700 2,929,850 1,464,925 4,394,776 2,197,388 1,098,694 549,347 1,648,042 824,021 2,472,064 1,236,032 618,016 309,008 154,504 77,252

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