77,540,084

2² × 23 × 29 × 29063

77,540,084 factors as 2^2 × 23 × 29 × 29063. Its 24 positive divisors give a proper-divisor sum of 68,942,476, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 29 × 29063

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 146,482,560

Proper Divisor Sum 68,942,476

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #77540081 ← → #77540119

Radix Representation

Decimal	77540084
Binary	100100111110010101011110100 (27 bits)
Octal	0o447625364
Hexadecimal	0x49F2AF4

Divisor Catalog (24)

Collatz Trajectory (117 steps to reach 1)

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

77,540,084 38,770,042 19,385,021 58,155,064 29,077,532 14,538,766 7,269,383 21,808,150 10,904,075 32,712,226 16,356,113 49,068,340 24,534,170 12,267,085 36,801,256 18,400,628 9,200,314 4,600,157 13,800,472 6,900,236 3,450,118 1,725,059 5,175,178 2,587,589 7,762,768 3,881,384 1,940,692 970,346 485,173 1,455,520 727,760 363,880 181,940 90,970 45,485 136,456 68,228 34,114 17,057 51,172 25,586 12,793 38,380 19,190 9,595 28,786 14,393 43,180 21,590 10,795 32,386 16,193 48,580 24,290 12,145 36,436 18,218 9,109 27,328 13,664

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