78,042,015

3³ × 5 × 293 × 1973

78,042,015 factors as 3^3 × 5 × 293 × 1973. Its 32 positive divisors give a proper-divisor sum of 61,243,425, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 293 × 1973

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 139,285,440

Proper Divisor Sum 61,243,425

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #78042007 ← → #78042017

Radix Representation

Decimal	78042015
Binary	100101001101101001110011111 (27 bits)
Octal	0o451551637
Hexadecimal	0x4A6D39F

Divisor Catalog (32)

Collatz Trajectory (148 steps to reach 1)

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

78,042,015 234,126,046 117,063,023 351,189,070 175,594,535 526,783,606 263,391,803 790,175,410 395,087,705 1,185,263,116 592,631,558 296,315,779 888,947,338 444,473,669 1,333,421,008 666,710,504 333,355,252 166,677,626 83,338,813 250,016,440 125,008,220 62,504,110 31,252,055 93,756,166 46,878,083 140,634,250 70,317,125 210,951,376 105,475,688 52,737,844 26,368,922 13,184,461 39,553,384 19,776,692 9,888,346 4,944,173 14,832,520 7,416,260 3,708,130 1,854,065 5,562,196 2,781,098 1,390,549 4,171,648 2,085,824 1,042,912 521,456 260,728 130,364 65,182 32,591 97,774 48,887 146,662 73,331 219,994 109,997 329,992 164,996 82,498

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