48,642,680

2³ × 5 × 1216067

48,642,680 factors as 2^3 × 5 × 1216067. Its 16 positive divisors give a proper-divisor sum of 60,803,440, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 1216067

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 109,446,120

Proper Divisor Sum 60,803,440

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #48642673 ← → #48642691

Radix Representation

Decimal	48642680
Binary	10111001100011101001111000 (26 bits)
Octal	0o271435170
Hexadecimal	0x2E63A78

Divisor Catalog (16)

1 2 4 5 8 10 20 40 1,216,067 2,432,134 4,864,268 6,080,335 9,728,536 12,160,670 24,321,340 48,642,680

Collatz Trajectory (222 steps to reach 1)

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

48,642,680 24,321,340 12,160,670 6,080,335 18,241,006 9,120,503 27,361,510 13,680,755 41,042,266 20,521,133 61,563,400 30,781,700 15,390,850 7,695,425 23,086,276 11,543,138 5,771,569 17,314,708 8,657,354 4,328,677 12,986,032 6,493,016 3,246,508 1,623,254 811,627 2,434,882 1,217,441 3,652,324 1,826,162 913,081 2,739,244 1,369,622 684,811 2,054,434 1,027,217 3,081,652 1,540,826 770,413 2,311,240 1,155,620 577,810 288,905 866,716 433,358 216,679 650,038 325,019 975,058 487,529 1,462,588 731,294 365,647 1,096,942 548,471 1,645,414 822,707 2,468,122 1,234,061 3,702,184 1,851,092

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