λ
Ratio Atlas

78,078,761

78078761
Deficient Odd Prime

78,078,761 factors as 78078761. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 378 steps.

Prime Factor Structure

Factorization String 78078761
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 78,078,762
Proper Divisor Sum 1
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #78078731 ← → #78078779

Radix Representation

Decimal 78078761
Binary 100101001110110001100101001 (27 bits)
Octal 0o451661451
Hexadecimal 0x4A76329

Divisor Catalog (2)

Collatz Trajectory (378 steps to reach 1)

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

78,078,761 234,236,284 117,118,142 58,559,071 175,677,214 87,838,607 263,515,822 131,757,911 395,273,734 197,636,867 592,910,602 296,455,301 889,365,904 444,682,952 222,341,476 111,170,738 55,585,369 166,756,108 83,378,054 41,689,027 125,067,082 62,533,541 187,600,624 93,800,312 46,900,156 23,450,078 11,725,039 35,175,118 17,587,559 52,762,678 26,381,339 79,144,018 39,572,009 118,716,028 59,358,014 29,679,007 89,037,022 44,518,511 133,555,534 66,777,767 200,333,302 100,166,651 300,499,954 150,249,977 450,749,932 225,374,966 112,687,483 338,062,450 169,031,225 507,093,676 253,546,838 126,773,419 380,320,258 190,160,129 570,480,388 285,240,194 142,620,097 427,860,292 213,930,146 106,965,073

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