4,801,784

2³ × 13 × 46171

4,801,784 factors as 2^3 × 13 × 46171. Its 16 positive divisors give a proper-divisor sum of 4,894,336, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 46171

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,696,120

Proper Divisor Sum 4,894,336

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4801781 ← → #4801789

Radix Representation

Decimal	4801784
Binary	10010010100010011111000 (23 bits)
Octal	0o22242370
Hexadecimal	0x4944F8

Divisor Catalog (16)

1 2 4 8 13 26 52 104 46,171 92,342 184,684 369,368 600,223 1,200,446 2,400,892 4,801,784

Collatz Trajectory (149 steps to reach 1)

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

4,801,784 2,400,892 1,200,446 600,223 1,800,670 900,335 2,701,006 1,350,503 4,051,510 2,025,755 6,077,266 3,038,633 9,115,900 4,557,950 2,278,975 6,836,926 3,418,463 10,255,390 5,127,695 15,383,086 7,691,543 23,074,630 11,537,315 34,611,946 17,305,973 51,917,920 25,958,960 12,979,480 6,489,740 3,244,870 1,622,435 4,867,306 2,433,653 7,300,960 3,650,480 1,825,240 912,620 456,310 228,155 684,466 342,233 1,026,700 513,350 256,675 770,026 385,013 1,155,040 577,520 288,760 144,380 72,190 36,095 108,286 54,143 162,430 81,215 243,646 121,823 365,470 182,735

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