48,116,380

2² × 5 × 13 × 185063

48,116,380 factors as 2^2 × 5 × 13 × 185063. Its 24 positive divisors give a proper-divisor sum of 60,701,252, so this integer is abundant. The Collatz stopping time is 323 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 185063

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 108,817,632

Proper Divisor Sum 60,701,252

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #48116377 ← → #48116389

Radix Representation

Decimal	48116380
Binary	10110111100011001010011100 (26 bits)
Octal	0o267431234
Hexadecimal	0x2DE329C

Divisor Catalog (24)

Collatz Trajectory (323 steps to reach 1)

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

48,116,380 24,058,190 12,029,095 36,087,286 18,043,643 54,130,930 27,065,465 81,196,396 40,598,198 20,299,099 60,897,298 30,448,649 91,345,948 45,672,974 22,836,487 68,509,462 34,254,731 102,764,194 51,382,097 154,146,292 77,073,146 38,536,573 115,609,720 57,804,860 28,902,430 14,451,215 43,353,646 21,676,823 65,030,470 32,515,235 97,545,706 48,772,853 146,318,560 73,159,280 36,579,640 18,289,820 9,144,910 4,572,455 13,717,366 6,858,683 20,576,050 10,288,025 30,864,076 15,432,038 7,716,019 23,148,058 11,574,029 34,722,088 17,361,044 8,680,522 4,340,261 13,020,784 6,510,392 3,255,196 1,627,598 813,799 2,441,398 1,220,699 3,662,098 1,831,049

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