λ
Ratio Atlas

73,080,247

73080247
Deficient Odd Prime

73,080,247 factors as 73080247. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 73080247
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 73,080,248
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #73080233 ← → #73080277

Radix Representation

Decimal 73080247
Binary 100010110110001110110110111 (27 bits)
Octal 0o426616667
Hexadecimal 0x45B1DB7

Divisor Catalog (2)

Collatz Trajectory (140 steps to reach 1)

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

73,080,247 219,240,742 109,620,371 328,861,114 164,430,557 493,291,672 246,645,836 123,322,918 61,661,459 184,984,378 92,492,189 277,476,568 138,738,284 69,369,142 34,684,571 104,053,714 52,026,857 156,080,572 78,040,286 39,020,143 117,060,430 58,530,215 175,590,646 87,795,323 263,385,970 131,692,985 395,078,956 197,539,478 98,769,739 296,309,218 148,154,609 444,463,828 222,231,914 111,115,957 333,347,872 166,673,936 83,336,968 41,668,484 20,834,242 10,417,121 31,251,364 15,625,682 7,812,841 23,438,524 11,719,262 5,859,631 17,578,894 8,789,447 26,368,342 13,184,171 39,552,514 19,776,257 59,328,772 29,664,386 14,832,193 44,496,580 22,248,290 11,124,145 33,372,436 16,686,218

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