4,606,784

2⁶ × 7² × 13 × 113

4,606,784 factors as 2^6 × 7^2 × 13 × 113. Its 84 positive divisors give a proper-divisor sum of 6,946,660, so this integer is abundant. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 2^6 × 7^2 × 13 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 11,553,444

Proper Divisor Sum 6,946,660

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4606783 ← → #4606807

Radix Representation

Decimal	4606784
Binary	10001100100101101000000 (23 bits)
Octal	0o21445500
Hexadecimal	0x464B40

Divisor Catalog (60 of 84)

1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 113 182 196 208 224 226 364 392 416 448 452 637 728 784 791 832 904 1,274 1,456 1,469 1,568 1,582 1,808 2,548 2,912 2,938 3,136 3,164 3,616 5,096 5,537 5,824 5,876 6,328 7,232 10,192 10,283 11,074 11,752 12,656 20,384

Collatz Trajectory (56 steps to reach 1)

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

4,606,784 2,303,392 1,151,696 575,848 287,924 143,962 71,981 215,944 107,972 53,986 26,993 80,980 40,490 20,245 60,736 30,368 15,184 7,592 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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